Simplify the radicals in the given expression:

8^3√a^4b^3c^2-14ab^3√ac^2

8ab√ac^2-14ab^3ac^2

8a^2ba^3√b-14abc^3a

8ab^3ac^2-14ab^3√ac^2

8a^2bc√b-14abc√a
i've gotten the answer it is "8ab^3ac^2-14ab^3√ac^2"

Answers

Answer 1

Answer: it’s option c

Step-by-step explanation:

Answer 2

Simplified form of radical 8∛(a⁴b³c²)-14b∛(ac^(2)) is -6ab∛ac².

What is radical?

The symbol '√' that expresses a root of a number is known as radical and is read as x radical n or nth root of x. The horizontal line covering the number is called the vinculum and the number under it is called the radicand. The number n written before the radical is called the index or degree.

Given radical

8∛(a⁴b³c²)-14b∛(ac^(2))

Rewriting a⁴b³c² as (ab)³ ac²

8∛((ab)³ac²)-14b∛(ac²)

8ab∛ac² - 14b∛ac²

-6ab∛ac².

Hence, -6ab∛ac² is the simplified form of 8∛(a⁴b³c²)-14b∛(ac^(2)).

Learn more about radical here:

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Related Questions

What is the end behavior of the polynomial function?

Answers

Answer:

D) as x approaches neg. infinity, y approaches neg. infinity

Step-by-step explanation:

This is because you get to negative x infinity which is towards the right, you see that the y value is going down sharply as well towards the direction of negative infinity in y direction (x direction is right to left and y direction is up and down)

Answer:

D one Edge 2021 ;))

Step-by-step explanation:

1
The price of a pair of shoes increased from $64 to $68. What was the percent increase in the
price of the shoes? Round to the nearest percent. *

Answers

Change in price of the shoes=New price-original price=68-64=$64
Percentage increase in the price of shoes=(change in price/original price)x100%
=(64/68)x100%
=94.1 %

Write the number for seventy-five million three hundred thousand

Answers

The answer is 75,300,000 hope this helps.

There are 110 people at a meeting. They each shake hands with everyone else. How many handshakes were there?

A) Permutation

B) Combination

C) Circular permutation

Answers

Each of them shakes hands with 109 others.
109*110 = 11990 handshakes were done.

John made 2 quarts of juice for a school party. He said that he made 2/4 cup of juice. A. Explain John's mistake. B. How many cups of juice did John actually make?

Answers

Answer:

A. He thought 1 quart = 1/4 cup

B. actually made 8 cups of juice

Step-by-step explanation:

From conversion,

1 cup =1/4 quarts

A. John thought 1 quarts = 1/4 cup, which was his mistake

B. His 2/4 cups is actually

4*2 = 8 cups

The expression of 20-31 gives us the distance between the numbers 20 and 31 write a similar expression for the distance between -5 and -15 and simplify it.

Answers

Answer:

After simplifying, our answer is 10

Step-by-step explanation:

20-31 gives the distance between 20 and 30

Now, for -5 and -15

The similar expression to write will be -5-(-15)

Simplifying this, we have;

That would be -5+15 = 10

The area of a parallelogram is 12 ft^2 The height is 2 ft. Find the length of the corresponding base

Answers

Answer:

The length of the corresponding base is 6 ft.

Step-by-step explanation:

A = bh            Use this equation to find the length of the base

12 = 2b           Divide both sides by 2 to get b by itself

6 = b

If this answer is correct, please make me Brainliest!

Answer:

6

Step-by-step explanation:

did lesson

how do you simplify this

Answers

Answer:

6^8

Step-by-step explanation:

so whenever there is an exponent outside of a parentheses, multiply it with the exponent inside the parentheses:

so (6^4)^2= 6^8

Hope this helps!

Answer:

well the answer is 1679616

Step-by-step explanation:

how you search it up is (6^4)^2 and how you do it is times 6 by 6 by 6 by 6 then whatever that comes out to (1296) you would multiply that twice (1296 times 1296) and that'd be your answer ( 1679616)

NEED HELP ASAP. Write a positive or negative integer that represents the situation.

The temperature is 34 degrees below zero.

Answers

Answer:

-34

Step-by-step explanation:

Temperature = 34 degrees below zero

temperature= 0-34

temperature= -34

Answer:

- 34

Step-by-step explanation:

That the answer

One telephone company charges $16.95 per month and $0.05 per minute for local calls. Another company charges $22.95 per month and $0.02 per minute for local calls. For what number of minutes of local calls per month is the cost of the plans the same?

Answers

Answer:.03x=6

Step-by-step explanation x=200 minutes

Answer:

200 minutes

Step-by-step explanation:

To find this, you should first set up an equation. Since you are trying to find the point where both plans cost the same, set them equal to each other. Let x be the cost for both. Write the equation:

[tex]16.95+0.05x=22.95+0.02x[/tex]

We place the x with the cost per minute because this is what you are trying to find. We add the cost per month.

Solve for x. Subtract 16.95 from both sides and simplify:

[tex]16.95-16.95+0.05x=22.95-16.95+0.02x\\0.05x=6+0.02x[/tex]

Subtract 0.02x from both sides:

[tex]0.05x-0.02x=6+0.02x-0.02x\\0.03x=6[/tex]

Divide both sides by 0.03:

[tex]\frac{0.03x}{0.03}=\frac{6}{0.03}\\ x=200[/tex]

At 200 minutes, the cost for both plans would be the same.

What is the sum of the numbers

Answers

Answer:

B  4i sqrt(2)

Step-by-step explanation:

sqrt(-2) = sqrt(-1) * sqrt(2) = i sqrt(2)

sqrt(-18) = sqrt(-1) sqrt(2) sqrt(9) = 3i sqrt(2)

Add them together

i sqrt(2) + 3i sqrt(2)

4i sqrt(2)

Answer:

B.) [tex]4\sqrt{2}i[/tex]

Step-by-step explanation:

Simplify both radicals from negative form (the square root of -1 is i ):

[tex]\sqrt{-1*2} +\sqrt{-1*18} \\\\\sqrt{2}i+\sqrt{18}i[/tex]

Simplify [tex]\sqrt{18}[/tex] :

[tex]\sqrt{9*2}\\\\\sqrt{9}*\sqrt{2}\\\\ 3\sqrt{2}i[/tex]

Add:

[tex]1\sqrt{2}i+3\sqrt{2}i\\\\4\sqrt{2}i[/tex]

:Done

Consider the blueprint (scale drawing) of a living room in a house. The size of the longest wall in the house is 16 ft.

A room has wall lengths of one-fourth foot, StartFraction 1 over 12 EndFraction feet, one-sixth foot, and one-third foot.

What can be concluded about the information on the blueprint of the living room? Check all that apply.

Answers

Answer:  A

D: Divide each length of the scale drawing by the scale factor to find the lengths of the walls.

Answer:

Step-by-step explanation:

A rectangular box is tied with a ribbon so that the ribbon crosses the box at the midpoints of its sides. If the box is 8 inches long, 6 inches wide, and 5 inches high, how long is the ribbon? hint: look for right triangles.

Answers

Answer:

The ribbon is 28.4 meters

Step-by-step explanation:

Given the box is 5m high, 6m long, and 8m wide,

we have a right angled triangle with hypotenuse = unknown, x, say

Opposite = 5m and 8m

Then, by Pythagoras theorem

x² = 5² + 8²

x² = 25 + 64

x² = 89

x = √89 ≈ 9.4m

The ribbon is now (5 + 6 + 8 + 9.4)m = 28.4m

Need help Soon as possible

Answers

Answer:

D; D

Step-by-step explanation:

The common difference of the first sequence is 10, so the coefficient is 10. The first term minus the common difference is -8, so that is the constant

The common difference of the second sequence is 3, so the coefficient is 3. The first term minus the common difference is -9, so that is the constant.

Please Help!!!
Which ordered pair is a solution to the equation? 2y = −5x – 4
(−2, 3)
(1, −4)
(0, 2)
(−1, 1)

Answers

Answer:(1,-4)

Step-by-step explanation:

What is the value of 98.84 divided by 14​?

Answers

Answer:

7.06

Step-by-step explanation

i just searched for calculator put in the problem

Hope that helps :)

fathi has $1.10 in his printing account. each sheet of paper he uses reduces his printing account balance by $0.25. Fathi wants to print out a PDF document that is 47 pages long. To save paper, he decides to print on both sides of each sheet and to print two pages on each sides of the sheet.

Answers

Answer:

IF THE question is After Fathi prints, what will be the balance in his printing account?

then it is: $1.9

There are 47 pages.

Printing on both sides would divide the number of pages into half.

47/2 = 23.5

2 pages on each side would mean 4 pages on one sheet. Therefore, the number of pages will be further divided by 2.

23.5/2 = 11.75

There cannot be 11.75 pages so we will round it up to 12 pages.

Each page costs $0.25 so 12 pages will cost:

12 x 0.25 = $3

Faithi has $1.1 so new account balance will be:

1.1 - 3 = $-1.9

Therefore, Fathi's balance in his printing account would be negative $1.9.

Answer:

The answer is $-1.90

Plz help! Question is in the picture :)

Answers

Answer:

32.94%

Step-by-step explanation:

Hope this helps

A cylinder has a height of 14 inches and a radius of 5 inches. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

1099 inches

Step-by-step explanation:

We know that formula for volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

[tex]V=\pi 5^2*14[/tex]

[tex]V=\pi 25*14[/tex]

[tex]V=\pi 350[/tex]

[tex]V=3.14*350[/tex]

[tex]V=1099[/tex]

Answer:

1099

Step-by-step explanation:

Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below. Use the given expression to complete the statements below. The expression is the of the amount initially deposited and the of one and the rate of increase raised to the number of .

Answers

Complete Question:

Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below.

250(1+0.018/2)^2t

Use the given expression to complete the statements below.

The expression is the *blank* of the amount initially deposited and the *blank* of one and the rate of increase raised to the number of *blank*

1st Blank:

Product

Sum

Quotient

Square

2nd Blank:

Quotient

Product

Difference

Sum

3rd Blank:

Compounding Periods

Years

Months

Answer:

First blank: product

Second blank : Sum

Third blank : years

Step-by-step explanation:

The expression :

250(1+0.018/2)^2t

The expression is the *blank* of the amount initially deposited and the *blank* of one and the rate of increase raised to the number of *blank*

The first blank represents product which adopts the use of the bracket () symbol

The second blank is the sum of one and the rate of increase depicted with the addition '+' sign

The third blank represents years which is the period of time in years for which the money was kept in the scholarship account

1. Find the value of (−0.024)square

Answers

0.000576 is the right awnser

Hi so i am writing a movie but i need ideas

Answers

A coming of age story about two childhood best friends who grow apart
You can write about many interesting things. For example, you can write about your life or make up characters.

I hope this helps you!!!!

Write 4x^4 + x^6 - 3+ 6x^8 in standard form.

Answers

Answer:

6x^8 + x^6 + 4x^4 + 0x^2 - 3

Step-by-step explanation:

Rewrite this in descending order by powers of x:

6x^8 + x^6 + 4x^4 + 0x^2 - 3x^0

or

6x^8 + x^6 + 4x^4 + 0x^2 - 3

HELP DUE NOW GIVING BRAINLIST HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1) distributive property.

Step-by-step explanation:

Becca used the distributive property, in that she distributed (multiplied) 4 to all terms within the parenthesis:

4(x + 2) = 4x + 8

~

Answer:

1. Distributive

Step-by-step explanation:

Becca used the Distributive Property. You can tell because she multiplied (x + 2) by 4, which is distributing the 4.

Which expression represents finding the volume of the entire solid? Be careful

Answers

Answer:

Option 6

Step-by-step explanation:

To find the volume of a cone you use the formula 1/3*pi*r^2*h which would be pi*9^2*7. Then the volume of a cylinder is pi*9^2*50, so option 6 is right I believe.

On a test, Robert has been presented with 15 vocabulary words and 15 definitions. He is being asked to match each vocabulary word to appropriate definition. How many different ways are there for Robert to do the matching?

Answers

Answer:

15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1

Step-by-step explanation:

It will be 15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1

Because the first vocab has 15 definitions to match

the second then be left with 14 definitions ( cause the first one match with 1 def already

the third has 13 definition

so on ...

hope this help

Answer:

15! ways

Step-by-step explanation:

15! =1.307 × 10¹²

For the first word, he has 15 options

For the second word, 14 options

.

.

.

For the last word, 1 option

Total possibilities:

15 × 14 × 13 × 12 × ...... × 1 = 15!

The sum of an 84-number series is –7,980. What is the sum of the first and last numbers?

Answers

Answer:

- 190

Step-by-step explanation:

Since the sum of 84 number series is -7980. We have to find the sum of first and last numbers. Since sum of an arithmetic sequence is represented as. S =. (First + last) =. So the total of first and last term is (-190). Option B. -190 is the correct option.

Answer:

B) -190

Step-by-step explanation:

Trust

The smaller triangle was dilated to form the larger triangle. What is the value of x? A smaller triangle has side lengths of 3 and 5. A larger triangle has side lengths of 9 and x + 1.

Answers

Answer:

x = 14

Step-by-step explanation:

As the triangle was dilated, all its sides increased by the same ratio.

So, as one side was 3 and then increased to 9, the ratio is:

ratio = 9 / 3 = 3

So, using this same ratio for the other side given, we can find the value of x.

The larger side of length x+1 is 3 times greater than the small side of length 5:

x + 1 = 3 * 5

x + 1 = 15

x = 14

Answer:

C: 14

Step-by-step explanation:

Traveling 15 miles in 20 minutes, how many miles per hour must you be going?

Answers

Answer:

45

Step-by-step explanation:

Answer:

45

Step-by-step explanation

Juan has just completed a 15 kilometer race in 20 minutes.  What was his average speed in kilometers per hour?

Solution

First, 15 kilometers is a distance, so

       d  =  15

Next, we are given 20 minutes and we are asked to present the speed in kilometers per hour rather than kilometers per minute.  We need to convert 20 minutes to hours.  Since there are 60 minutes per hour, we divide by 60 to find out how many hours it took

t  =  20 minutes / 60 minutes per hour =  1/3 hours

Now we can use the d=rt equation:

15  =  (r)(1/3)

If we multiply both sides

(3)(5)  =  (r)(1/3)(3)  or  r  =  45

Juan's average speed was 45 kilometers per hour.

(3/7)*(1/10)-(3/7)*2/5+3/7*1
solve the above-using propeties of rational numbers..
pls give the ans fast..
it's very urgent...
pls don't give wrong ans...

Answers

Answer:

 [tex]\frac{- 39}{70}[/tex]

Step-by-step explanation:

{[tex]\frac{3}{7}[/tex] x [tex]\frac{1}{10}\\[/tex]} - { [tex]\frac{3}{7}[/tex] }x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1

We follow the BODMAS rule

=  [tex]\frac{3}{70}[/tex] -  [tex]\frac{3}{7}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1

=   [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1

=   [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex]

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3}{7}[/tex]

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3*5}{7*5}[/tex]        LCM= 35

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{6 + 15}{35}[/tex]

=   [tex]\frac{3}{70}[/tex] - [tex]\frac{21}{35}[/tex]

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{21*2}{35*2}[/tex]             LCM= 70

=   [tex]\frac{3 - 42}{70}[/tex]

=   [tex]\frac{- 39}{70}[/tex]

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