please solve this Laws of Indices problem​

Please Solve This Laws Of Indices Problem

Answers

Answer 1

Answer:

[tex]\frac{1}{405}[/tex]

Step-by-step explanation:

[tex]5^{-\frac{2}{3} } *15^{-\frac{1}{3} }*3^{-\frac{11}{3} }[/tex] = [tex]5^{-\frac{2}{3} } *(3*5)^{-\frac{1}{3} }*3^{-\frac{11}{3} }[/tex] = [tex]5^{-\frac{2}{3} }*5^{-\frac{1}{3} }*3^{-\frac{11}{3} }*3^{-\frac{1}{3} }[/tex] = [tex]5^{-1}*3^{-4}[/tex]

[tex]5^{-1}*3^{-4} = \frac{1}{5*3^{4} } = \frac{1}{405}[/tex]


Related Questions

A handyman charges $30 for supplies and
then $45 per hour for labor. Another
contractor includes the cost of supplies in his
hourly wage, which is $60 per hour. How
many hours would be needed for the cost of
each to be the same?

Answers

Answer:

30 hours

Step-by-step explanation:

30+45x=60+45x

45x=30+45x

x=30

Answer:

2 hours

Step-by-step explanation:

Please mark Brainliest when able.

4. Multiply
(5 points)
8
-10
35
8
10
35
-13
13
35
13
13
35

Answers

Answer:

Do u really need help in solving this question.? Use a calculator!

Can someone please help ?!?!?

Answers

Answer: [tex]\frac{15}{64}[/tex] or A

Step-by-step explanation:

The answer to your questions is A

If a study was conducted of 173 species of mammals worldwide. 37 could be found in Africa and 17 species could be found in Asia and 15 could be found in both continents. What is the probability of randomly selecting a species of mammals that is neither found in Africa not Asia? Write your answer as a fraction.

Answers

Answer:

104/173

Step-by-step explanation:

173 total

Africa= 37

Asia=17

15 in BOTH

173-69=104

104 mammals are NOT found in either

104/173

Answer:

Probability = Favorable outcomes / Total outcomes

=> (Total - (Africa + Asia + Both)) / Total

=> (173 - (37 + 17 + 15)) / 173

=> (173 - 69) / 173

=> 104 / 173

Therefore, the probability = 104 / 173

If my answer helped, please mark me as the brainliest!!

Thank You!!

\-x+sqrt1−x 2 \-=sqrt2(2x 2 −1).
Giving extra points for the best answer

Answers

Answer:

x = -√½ or √⁹/₁₀

Step-by-step explanation:

x + √(1 − x²) = √(2(2x² − 1))

Square both sides:

x² + 2x√(1 − x²) + 1 − x² = 2(2x² − 1)

2x√(1 − x²) + 1 = 4x² − 2

2x√(1 − x²) = 4x² − 3

Square both sides again:

4x² (1 − x²) = 16x⁴ − 24x² + 9

4x² − 4x⁴ = 16x⁴ − 24x² + 9

0 = 20x⁴ − 28x² + 9

Solve with quadratic formula:

x² = [ 28 ± √(28² − 4(20)(9)) ] / 2(20)

x² = (28 ± 8) / 40

x² = ½, ⁹/₁₀

x = ±√½, ±√⁹/₁₀

Check for extraneous solutions.

If x = -√½:

-√½ + √(1 − ½) = √(2(2(½) − 1))

-√½ + √½ = √(2(1 − 1))

0 = 0

If x = √½:

√½ + √(1 − ½) = √(2(2(½) − 1))

√½ + √½ = √(2(1 − 1))

√2 = 0

If x = -√⁹/₁₀:

-√⁹/₁₀ + √(1 − ⁹/₁₀) = √(2(2(⁹/₁₀) − 1))

-√⁹/₁₀ + √¹/₁₀ = √(2(⁹/₅ − 1))

-√⅖ = √⁸/₅

If x = √⁹/₁₀:

√⁹/₁₀ + √(1 − ⁹/₁₀) = √(2(2(⁹/₁₀) − 1))

√⁹/₁₀ + √¹/₁₀ = √(2(⁹/₅ − 1))

√⁸/₅ = √⁸/₅

what is the slope of the line thats models this situation ?​

Answers

Answer:

-5

Step-by-step explanation:

Answer:

-5 is the answer

Step-by-step explanation:

-5 is the answer

WILL GIVE BRAINLIEST!!!!!!!!
Use 2 to 3 sentences to name the two pairs of alternate interior angles and explain the difference between alternate interior and alternate exterior angles.

Answers

Answer:

Step-by-step explanation:

From the picture attached,

Lines 'p' and 'q' are the parallel lines and line 't' is a transversal intersecting these lines.

Two pairs of angles (∠2 and ∠7) and (∠4 and ∠5) are the alternate interior angles.

Similarly, two pairs of (∠1 and ∠8) and (∠3 and ∠6) are the alternate exterior angles.

Alternate interior angles are the interior angles between the parallel lines and the transversal line while alternate exterior angles are vertically opposite angles to these interior angles.

What is the fractional equivalent of the repeating decimal n = 0.1515... ? Answer the questions to find out. 1. How many repeating digits does the number represented by n have? Write your answer in the space below. 2. You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number. Write your answer in the space below. 3. Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power. Write your answer in the space bel 4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. 5. Write n as a fraction in simplest form.

Answers

We started with a number with repeating decimals, and we conclude that the fractional form of 0.1515... is 15/99

What is the fractional equivalent of the repeating decimal n = 0.1515... ?

Ok, so we have a repeating number.

First, we note that there are two digits that repeat consecutively, which are 1 and 5.

Then we can start by multiplying (and dividing, so we don't change our number) by 10 two times (or by 100, is the same thing).

0.1515...*(100/100) = (15.1515...)/(100)

Notice that still have the repeating pattern after the decimal point.

So, if now we subtract the original number over 100, we get:

(15.1515...)/(100) - (0.1515...)/(100) = 15/100

Now we rewrite the above expression as:

(0.1515...)*(100/100) - (0.1515...)*(1/100) = 15/100

If we take (0.1515...) as a common factor, then we have:

(0.1515...)*( 100/100 - 1/100) = 15/100

(0.1515...)*(99/100) = 15/100

Now we can isolate our number on the left side, so we get:

0.1515... = (100/99)*(15/100) = 15/99

In this way, we conclude that the fractional form of 0.1515... is 15/99.

If you want to learn more about repeating decimals:

https://brainly.com/question/25685584

#SPJ1

How can the transformation be amended such that the translation can occur before the reflection and have the image remain in the same position?

Answers

Answer:

a

Step-by-step explanation:

edge 2021

Find the area of a circle with radius, r = 52cm squared




Give your answer rounded to 3 SF.​

Answers

Answer: 849

Step-by-step explanation:

πr^2

π x 52^2 = 8494.866535

3 SF = 849

Escribe el producto 16 a la 7 por 16 a la 3 como potencia de 16, como potencia de 4 y como potencia de 2

Answers

Answer:

16^10, 4^20 y 2^40

Step-by-step explanation:

Para expresar el producto

16^7 ×16^3  16 ^7 ×16^3

como una potencia de 16, podemos sumar los exponentes y mantener la base:

16^7 × 16^3 = 16^7 + 3=16^10  16^7 ×16^3  =16^7+3  =16 ^10

Para expresar el resultado como una potencia de 4, podemos utilizar la relación

16

=

4

2

16=4

2

:

1

6

10

=

(

4

2

)

10

=

4

2

×

10

=

4

20

16

10

=(4

2

)

10

=4

2×10

=4

20

Finalmente, para expresar el resultado como una potencia de 2, utilizamos la relación

4

=

2

2

4=2

2

:

4

20

=

(

2

2

)

20

=

2

2

×

20

=

2

40

4

20

=(2

2

)

20

=2

2×20

=2

40

Por lo tanto, el producto

1

6

7

×

1

6

3

16

7

×16

3

 puede ser expresado como

1

6

10

16

10

,

4

20

4

20

 y

2

40

2

40

.

Answer:

I hope it will help you dear

How would each scenario impact efficient turnover?
(1) Government requires that every employee must receive health insurance from the firm no matter how much they work.
(2) Social security increases making sure that every retiree over the age of 65 receives a livable income.
(3) Workers retirement has changed from a defined benefit plan (you get paid a certain amount each month after you retire, but you have to work at the firm a minimum number of years) to a defined contribution plan (firms will match what workers save, but there is no minimum working requirement).
(4)Benefits, retirement, and seniority stay with a worker as long as they stay with the company regardless of location (ex. working at Starbucks in Seattle then transferring to Starbucks in Denver).
Give an example (different from those above) where efficient turnover would increase and one where efficient turnover would decrease.
Which scenario is better for the economy? Explain.

Answers

A lack of job mobility and limited opportunities for advancement. Therefore, a balance between turnover and retention is desirable to foster a healthy and efficient labor market.

(1) In scenario (1), where the government requires every employee to receive health insurance from the firm regardless of their working hours, it can potentially impact efficient turnover. When employees are guaranteed health insurance regardless of how much they work, it may create a disincentive for them to seek higher-paying or more fulfilling job opportunities elsewhere. This could lead to lower turnover rates as employees may choose to stay with their current employer for the sake of retaining the health insurance benefits.

(2) In scenario (2), where social security increases to ensure a livable income for retirees over the age of 65, it may have a limited direct impact on efficient turnover. Social security primarily affects individuals who have already retired and are no longer part of the active workforce. However, it can indirectly influence efficient turnover by providing a safety net for retirees, allowing them to leave the workforce and create vacancies for younger, potentially more productive individuals to enter. This can contribute to a more dynamic labor market and higher turnover rates.

(3) In scenario (3), where the retirement plan shifts from a defined benefit plan to a defined contribution plan, it can potentially increase efficient turnover. With a defined contribution plan, workers have more flexibility and control over their retirement savings. They can accumulate portable retirement funds, which can incentivize them to seek new job opportunities or switch employers without sacrificing their retirement benefits. This increased mobility and portability can lead to higher turnover rates and a more efficient allocation of labor resources.

(4) In scenario (4), where benefits, retirement, and seniority stay with a worker regardless of their location within the company, it can potentially decrease efficient turnover. If employees can retain their benefits and seniority even when transferring to different locations within the company, it may reduce their motivation to seek external job opportunities or relocate to areas with higher job prospects. This can lead to lower turnover rates and potentially hinder the efficient allocation of talent across different geographic regions or branches of the company.

An example where efficient turnover would increase is when a company implements a performance-based promotion system that rewards high-performing employees with higher positions and responsibilities. This can incentivize employees to strive for better performance and actively seek promotions, resulting in increased turnover of lower-performing employees.

An example where efficient turnover would decrease is when a company offers highly attractive benefits and perks, such as generous retirement plans, flexible work schedules, and excellent healthcare coverage. These benefits create strong incentives for employees to stay with the company for a longer duration, reducing turnover rates but potentially hindering the flow of talent and new ideas into the organization.

Determining which scenario is better for the economy depends on various factors and perspectives. Generally, a moderate level of turnover can be beneficial for the economy as it allows for the redistribution of talent, promotes competition, and stimulates innovation. High turnover rates can indicate a dynamic labor market with opportunities for individuals to move up or explore new career paths. However, excessively high turnover rates can disrupt organizational stability and lead to increased recruitment and training costs. On the other hand, very low turnover rates may suggest a lack of job mobility and limited opportunities for advancement. Therefore, a balance between turnover and retention is desirable to foster a healthy and efficient labor market.

Learn more about mobility here

https://brainly.com/question/15357117

#SPJ11

Amy has 2/3 pound of jellybeans.if she fills 4 jars with an equal amount of jellybeans, how many pounds are in each jar?

I would love it if someone who is expert verified to answer this please

Answers

Answer:

0.667 ÷ 4 = 0.16675

So there are 0.16675 pounds in every jar

[3(x+2)+2x]-[4(y+2)-3(y-2)]

Answers

Answer:

5x-y-8

3(x+2)+2x-(4(y+2)-3(y-2))

4y+8-3(y-2)

3x+6+2x-y-14

and the last answer

skip some step hehehe

ANSWER AS MANY AS YOU CAN PLEASE TRY TO ANSWER ALL


1: Estimate the quotient using compatible numbers : 156 divided by 8

2: Estimate the product using compatible numbers : 48 times 32

3: Find the solution of the equation : b – 12 = –8

Answers

Answer:

Step-by-step explanation:

For the first one you can round 156 to 160 because 16 divided by 8 is 2 so 160 divided by 8 is 20. For the second one you can round 48 to 50 and 32 to 30 because 50 times 30 is 1,500. For the last one, add the 12 to the -8 which is 4. b=4.

Help me solve this problem please

Answers

Answer: 72 because when you fill in the a and b it gives you 72

The answer is 72!
Hope this help ;)

How many decigrams are in 14 hectograms?

Answers

Answer:

14000

Step-by-step explanation:

x + 5 greater than or equal to 13?

Answers

Answer:

x [tex]\geq 8[/tex]

Step-by-step explanation:

Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65. How many of each type of coin does she have?
First complete the equations below, where N stands for nickels and D stands for dimes.
[?]N+[]D=1.65;N+D=[]
Hint: A nickel is worth $0.05 and a dime is worth $0.10.

Answers

Sofia has 17 nickels and 8 dimes in her pocket, for a total of $1.65.

To solve this problem, let's assign variables to represent the number of nickels and dimes Sofia has. Let's say N represents the number of nickels and D represents the number of dimes.
From the problem, we know that Sofia has a total of 25 coins. Therefore, we can write the equation: N + D = 25.
We also know that the total value of all the coins is $1.65. Since a nickel is worth $0.05 and a dime is worth $0.10, we can write the equation: 0.05N + 0.10D = 1.65.
To solve this system of equations, we can use substitution or elimination. Let's use substitution. We can solve the first equation for N: N = 25 - D.
Now, substitute the value of N in the second equation: 0.05(25 - D) + 0.10D = 1.65.
Simplify the equation: 1.25 - 0.05D + 0.10D = 1.65.
Combine like terms: 0.05D = 1.65 - 1.25.
Simplify the right side: 0.05D = 0.40.
Divide both sides by 0.05: D = 0.40 / 0.05.
D = 8.
Now, substitute the value of D back into the first equation to find N: N + 8 = 25.
Simplify the equation: N = 25 - 8.
N = 17.
Therefore, Sofia has 17 nickels and 8 dimes.

For more such questions on total

https://brainly.com/question/30130621

#SPJ8

Angles A and B are supplementary. The measure of angle A is 60° and the measure of angle B is represented by 3x. Which equation can be used to determine the value of x?

The equations are
A. 60+3x=90
B. 3x+60=180
C. 60-3x=180
D. 3x=60​

Answers

b
because the angles are supplementary meaning they add up to 180

Which of the following represents the solution to the inequality shown below?

9 ≤ 2(3a − 3) ≤ 24

Answers

Answer:

Step-by-step explanation:

9≤2(3a−3)≤24

9≤6a−6≤24(Simplify all parts of the inequality)

9+6≤6a−6+6≤24+6(Add 6 to all parts)

15≤6a≤30  (Divide all parts by 6)

6    6      6

Answer:

5 ≤a≤5

2

(the computer won't do fractions so when you see this 5 it means fraction/division                                                                  9)

What is the result of 4 divided by 8/12

Answers

Answer:

6

Step-by-step explanation:

When dividing fractions, you want to multiply the reciprocal of the fraction (flip the fraction so the numerator is the denominator and the denominator is the numerator).

[tex]4*\frac{12}{8}[/tex]

If you don't know how to multiply fractions as well, I will show you now.

Since 4 is just 4/1, I will convert just so you can visually see how I multiply.

[tex]\frac{4}{1} * \frac{12}{8}[/tex]

When multiplying fractions, you multiply the numerators and the denominators.

So it would be 4 * 12 & 1 * 8

[tex]\frac{4}{1} * \frac{12}{8} = \frac{48}{8}[/tex]

Your fraction is 48/8. But it can be simplified, let's divide 48/8. That equals 6!

The required answer is 6 when 4 divided by 8/12 is equal to 6.

The division operation is given as follows:

4 ÷ (8/12)

To divide by a fraction, you can multiply by its reciprocal.

In this case, you want to divide 4 by 8/12. To do this, you can multiply 4 by the reciprocal of 8/12, which is 12/8.

So, the division can be rewritten as:

4 x (12/8)

Now, simplify the expression by multiplying:

(4 x 12) / 8

48 / 8

⇒ 4 ÷ (8/12) = 6

The final result is 6.

Therefore, 4 divided by 8/12 is equal to 6.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ6

Write in slope-intercept form.
6x - 2y = 6

Answers

y=3x-3 is the answer in slope intercept form

Answer: y=3x-3

Step-by-step explanation:

Alright, so....

6x-2y=6 needs to be in slope-intercept form.

We know that y=mx+b is slope intercept form equation.

Let’s start by doing -6x and bring it to the other side.

Now we have:

-2y=-6x+6

Divide everything by -2, so it becomes:

y=3x-3

Which of the following is not the graph of a function of x?​

Answers

Answer:

i think it's the third one

The graph no. 3 is not the graph of a function of x

What is a Function ?

A function is a mathematical expression where there are two variables , one is dependent variable and the other is the independent variable.

Every function has a domain and a range.

After we've substituted the domain, the range of a function is the entire set of all potential outcome values of the dependent variable (typically y)

A function is generally denoted by f(x) where x is the input.

In the given graphs it has to be determined that which graph is not a function of x .

It can be clearly seen from the image and the options that the option C has the equation

y = c.

As the graph is not dependent upon the value of x .

Therefore the graph y = c , option C is not the graph of a function of x.

To know more about Function

https://brainly.com/question/12431044

#SPJ2

sovle 4 pls and thank you

Answers

Answer:

3x^5y

Step-by-step explanation:

simplify the expression:
-2 (-5 + 3r) =

Answers

Answer:

10 - 6r =

Step-by-step explanation:

Is there something missing from the questions that you didn't add?

Write an exponential function in the form y=ab^x that goes through the points (0,9) and (3,1944)

Answers

The exponential function that passes through the given points is:y = 9(6)^x.

Given points: (0,9) and (3,1944)To find the exponential function in the form y = ab^x, we need to determine the values of a and b.Let's substitute the point (0, 9) in the given equation:

9 = ab^0Since any non-zero number raised to the power of zero is 1, therefore we get a = 9

Now, let's substitute the point (3,1944) in the equation:1944 = 9b^3Simplifying, we get:b^3 = 216b = 6

Therefore, the exponential function that passes through the given points is:y = 9(6)^x.

Explanation:

To determine an exponential function in the form y = ab^x that goes through the given points (0, 9) and (3, 1944), we have to identify the values of a and b.

Let's first substitute the point (0, 9) into the given equation, where x=0 and y=9.y = ab^x9 = ab^0

We know that b^0=1, thus 9 = a(1),a=9Substitute the value of a in the exponential equation.1944 = 9b^3We have to solve for b, so let's divide by 9 on both sides of the equation.1944/9 = b^3Simplify.216 = b^3b=6

To learn more about : exponential function

https://brainly.com/question/2456547

#SPJ8

Given f(x)=x-8 find f(1)+10

Answers

Answer:

3

Step-by-step explanation:

replace all x variables with 1 and solve that equation ; f(x)=x-8 so.... f(x) = 1-8

there for f(1)=-7

now, add -7 and 10 for your answer:

f(1)+10= 3

A mountain peak is 12,200 feet above sea level. The valley below is 218 feet below. How far is it from the peak to the valley.

Answers

Answer:

12,418 feet

Step-by-step explanation:

Easy problem lots of points explain how to do it please

Answers

Answer:

[tex]y= -2+\frac{2}{3}x[/tex]

Step-by-step explanation:

Multiply both sides by 2

2x=3y+6

Move variable to the left-hand side and change its sing

-3y=6-2x

Divide both sides of the equation by -3

[tex]y= -2+\frac{2}{3}x[/tex]

Kdhdkdbdjdiedbdbjxkxbdjdhx sjsosnddd
Other Questions
an exothermic reaction releases 325,000 calories. convert this to kj a patient with a pseudomonas species urinary infection will be receiving amikacin (amikin) 15 mg/kg once daily via intravenous infusion. the patient weighs 198 pounds, and the medication is available in an injection solution strength of 250 mg/ml. identify how many milliliters of medication will be drawn up for this injection. (record answer using one decimal place) Alternative PA process. Discuss in detail at least three (3) PAalternatives. What the pros and cons of each and what makes themeffective? Georgias legislative branch is called the ? PLEASE HELP... WILL MARK AS BRAINLIESTDain gets a new job. His original salary was $70,000 and his salary at his new job is $62,000. What is the percent of decrease of his new job?A. 1.14%B. 8.83%C. 11.43%D. 88.25% the nurse is caring for a client with a tracheostomy tube who is receiving mechanical ventilation. the nurse is monitoring for complications related to the tracheostomy and suspects tracheoesophageal fistula when which occurs? Part III: Company's SDG goals Each company that commits to the Ten Principles of the Global Compact identifies the SDGs that it will seek to advance in its operations and strategy. Which SDGs has your company identified and is the company's selection consistent with trends in the sector more broadly? a ray of light is refracted by an angle of 34.5 as it enters water from glass. find te angle of incidentce True or False: A negative real shock poses challenges to monetary policy because there is a trade-off between inflation and unemployment rates when a negative real shock occurs O a. True O b. False, i" When measuring weight 6 small dogs are approximately equal to 9 large cats.How many large cats are equal to 54 small dogs? How many small dogs are equalto 12 large cats? Exercise 107 (Algo) Effects of stock split and stock dividend on EPS LO 10-9 For the year ended December 31,2021 , Finco incorporated reported earnings per share of $3.60. Answer the following questions: Required: a. During 2022, the company had a 3-for-1 stock split. Calculate the 2021 earnings per share that will be reported in Finco's 2022 annual report for comparative purposes. b. During 2023. Finco had an additional 2-for-1 stock split. Calculate the 2021 earnings per share that will be reported in Finco's 2023 annual report for comparative purposes. c. Assume that Finco had issued a 10% stock dividend in 2022 and did not have a stock split. Calculate the 2021 earnings per share that will be reported in Finco's 2022 annual report for comparative purposes. Note: For all requirements, round your answers to 2 decimal places. URGENT!! PLEASE HELP!!The letter or number on each side indicates the side's measure and the letter or numberin the interior of each angle of each triangle indicates that angle's measure. Use yournew conjectures to arrange the letters' values in order from greatest to the least.b 55689a Target marketing is usually used by small companies since theydont have enough resources to target the whole market. True orFalse? What was the significance of the cotton gin on economic and social growth in the US? Challenge: In a collision, a 15 kg object moving with a velocity of 3 m/s transfers all of its momentum to a 5 kg object. What would be the velocity of the 5 kg object after the collision? (Hint: Think about the Law of Conservation of Momentum and draw a picture of what is happening to get started!) Motion and Force Unit dance 201 32 An engineer at Shoefactory, Inc. wants to calculate the cycle time (time to make one unit) for a process based on work sampling observations of workers performing the job. The standard deviation for the process times is 0.4 minutes, based on a small sample of observations which she took. If the engineer wants to be 95% confident of being in error by only 0.125 minutes, what sample size should she take?For continuous data:E=(z2)(n)For attribute data:E=(z2)p(1-p)n Julisha poured 1.5 liters of water into an empty flask. She boiled the water for 20 minutes then measured the amount of water that remained. She found that 70% of the water remained in the flask. Measured in liters, how much water evaporated? James is working with several mortgage brokers to secure a loan to purchase a new house. He plans on living in the house for many years to come and wants a loan that will have minimal risk. What type of loan should James get? What are the common components of the various career developmentmodels? Calculate the volume of CaCl2 stock solution. Express your answer with the appropriate units. Volume-14.5 mL Ans Correct Part B How to prepare this solution? O Using a 25 mL graduated cylinder, measure out 14.5 mL of 2.65 M CaCl2 solution. Pour the 14.5 mL into a 250 mL volumetric flask and fill it to the mark with water. Mix 14.5 mL of water and 235.5 mL of CaCl2. Mix 14.5 mL of water and 250 mL of CaCl2. O Using a 25 mL graduated cylinder, measure out 14.5 mL of 2.65 M CaCl2 solution. Pour the 14.5 mL into a 250 mL volumetric flask and add 250 mL of water.