lets evaluate (3^6)^1/2

step by step.

Answers

Answer 1

Answer:

27

Step-by-step explanation:

[tex]\bigg(3^6\bigg)^{\frac{1}{2}}[/tex]

use

[tex](a^n)^m=a^{n\cdot m}[/tex]

[tex]\bigg(3^6\bigg)^{\frac{1}{2}}=3^{6\cdot\frac{1}{2}[/tex]

simplify

[tex]6\!\!\!\!\diagup^3\cdot\dfrac{1}{2\!\!\!\!\diagup_1}=3\cdot\dfrac{1}{1}=3\cdot1=3[/tex]

other

[tex]6\cdot\dfrac{1}{2}=\dfrac{6\cdot1}{2}=\dfrac{6}{2}=3[/tex]

therefore

[tex]\bigg(3^6\bigg)^{\frac{1}{2}}=3^{6\cdot\frac{1}{2}}=3^3=\underbrace{3\cdot3\cdot3}_{3}=27[/tex]

Answer 2

[tex]\displaystyle\bf \boldsymbol{\boxed{(a^n)^m=a^{n\cdot m}}} \\\\(3^6)^{\frac{1}{2}} =3^{\frac{6}{2} }=3^3=\boldsymbol{{\boxed {27}}}[/tex]


Related Questions

State if is they are functions or not by filling in the blanks yes or no.

Answers

For a function, each x term must correspond to exactly one y term. We can use the vertical line test to determine whether or not that holds true for the following 6 graphs. If each x term corresponds to exactly one y term, then any vertical line that we draw on the graph should hit the graph at only one point.

1. We can't draw a vertical line that hits the graph at more than one

point so this relation must be a function.  

2. We can draw many vertical lines that will hit the graph at more than one point. Thus, we can conclude the graph shown here is not a function.

3. We can't draw a vertical line that hits the graph at more than one

point so this relation must be a function.  

4. We can't draw a vertical line that hits the graph at more than one

point so this relation must be a function.  

5. We can draw many vertical lines that will hit the graph at more than one point. Thus, we can conclude the graph shown here is not a function.

6. We can draw many vertical lines that will hit the graph at more than one point. Thus, we can conclude the graph shown here is not a function.

Answer:

yeah the other person is correct

Step-by-step explanation:

Drag each tile to the correct box.
Find the decreasing functions and arrange them in order from least to greatest y-intercept.
y = 2.5x + 10
y = -0.5x + 0.5
y = -4.5x + 3
y = -0.5x − 5
y = -2x + 7
y = -5x − 12







Answers

from least to greatest y-int
y = -5x - 12
y = -0.5x - 5
y = -0.5x + 0.5
y = -4.5x + 3
y = -2x + 7
y = 2.5x + 10

Answer:

from least to greatest y-int

y = -5x - 12

y = -0.5x - 5

y = -0.5x + 0.5

y = -4.5x + 3

y = -2x + 7

y = 2.5x + 10

Step-by-step explanation:

Choose all the factors of 12. (Check all that apply.)

10
9
2
6
3
8
5
12
7
11
4
1

Answers

ANSWER: 1,2,3,4,6,12
EXPLANATION: When a question asks you the factors of a number it is basically just asking you what number are in the multiplication of 12. The numbers all tie in with the number 12 when they are multiplied
EX:
-1 * 12 = 12
-2*6=12
-3*4=12
-6*2=12

Answer: 1, 2, 3, 4, 6, 12

Step-by-step explanation:

Factors is what makes the number by multiplication

so 1 x 12 is 12,

2 times 6 is 12

3times 4 is 12

What is 27/40 as a decimal? Explain how you got your answer.

Answers

To write 27/40 as a decimal you have to divide numerator by the denominator of the fraction.
We divide now 27 by 40 what we write down as 27/40 and we get 0.675
0.675
Fraction are basically division. When dividing the numerator by the denominator, you get the quotient

The cost to rent a bike at the beach is $6.75 an hour plus an insurance fee of $15. Marcia spent $48.75 when renting a bike on a recent trip to the
beach. For how many hours did Marcia rent the bike?
hours

Answers

Answer:

5 hours

Step-by-step explanation:

6.75 * 5 hours = 33.75$. Then 33.75 + 15 $ fee= 48.75$. You can also do 48.75- 15= 33.75/6.75= 5 hours. Hope it helps :D

Answer:

5 hours love :)

Step-by-step explanation: 48.75- 15= 33.75/6.75= 5 hours.

A number of baskets a company produces each day is shown in the table.

Answers

Answer:

a) Number of Days × 45 = Total of Blankets

b) 16425

Step-by-step explanation:

a) its the number of days (1, 2 ,3 so on) times 45 = number of blankets

b) 365×45 = 16425

i don't know i'm just trying to get points

can anyone help me I'm confused?

Answers

Answer: 10 inches

Step-by-step explanation:

If the two triangles are similar, that means their sides are proportional to each other.

JK = 15JL = 15 + 6 = 21JM = 14

The proportion would look like this:

[tex]\frac{JK}{JL} =\frac{JN}{JM}\\[/tex]

Substitute in the values:

[tex]\frac{15}{21} =\frac{JN}{14}[/tex]

Cross-multiply and solve for JN:

[tex]21*JN=15*14\\JN=\frac{15*14}{21} =\frac{210}{21} =10[/tex]

Answer:

10 inches

Step-by-step explanation:

JM=14<JL=21

And you know that JN=X<JK=15

You also know that JM=14>JN=x

KL=6 so NM=4

JM= (14) - NM (4)= 10

Hope this makes sense, and can help!

15 POINTS!!!
Identify the initial value and rate of change for the graph shown

A coordinate plane graph is shown. A line passes through the y-intercept at 1 and through the point 5 comma 4.

Initial value: 1, rate of change 3 over 5.
Initial value: 3 over 5., rate of change: 0
Initial value: 1, rate of change 5 over 3.
Initial value: 5 over 3., rate of change: 0

Answers

Answer:

Step-by-step explanation:

y=mx+b

y-intercept= 1

b=1

point (5,4)

x=5

y=4

y=mx+b

4=m(5)+1

5m=3

m=3/5

rate of change = 3/5

Evaluate the expression shown below and write your answer as a fraction in simplest form.

Answers

Answer:

1/20

Step-by-step explanation:

multiply 3/4 by 10 and multiply 7/10 by 4 then subtract fractions

30/40 - 28/40 = 2/40 divide it by 2 so we get the simplest form.

Answer

1/20

Step-by-step explanation

please help me answer

Answers

Answer:

yes. alternate interior angles converse

Ez use the angles to boom

Leon used the number line below to show -5 + 4. explain what is wrong with his model.

Answers

Well since he used -5, then it should be +5.
Step by step:
Hope that help a little I guess.

Evaluate the expression shown below and write your answer as a fraction in simplest form.

Answers

Answer:

39/80

Step-by-step explanation:

Answer:

ok so first we have to make these fractions into the same fraction on the bottom

140/320+16/320=0.4875 which as a fraction is 39/80

Hope This Helps!!!

Tyrone has a fish tank that measures 36in. long, 24in. high, and 18 in. wide. He wants to fill the fish tank to a height of 14 inches. What will be the volume of water in the tank?

Answers

Answer:

Step-by-step explanation:

volume of water=l×w×h

l=length of tank=36 in

w=width of tank=18 in

h=height of water=14 in

volume=36×18×14

=9072 in³

The answer would be 9072 in3 because you multiply the 36 24 and 18

A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to have enough space inside so they can also be used to store props.

How much space is inside the steps?
Give an exact answer (do not round).

Give correct answer and I will give you brainlist

Answers

I cannot see the picture, I apologise

Answer:

0.045 m^3

Step-by-step explanation:

0.2 m x 0.15 m x 0.5 m = 0.015 m^3

0.2 m x 0.3 m x 0.5 m = 0.03 m^3

0.045 m^3

Pls help on 1 and 2. I have no idea what I'm supposed to do.

Answers

What he said because. And so yea
Im lost dude someone help

PLZ HELP 10 POINTS
Is the transformed figure (image) congruent to the original (pre-image) figure?

Answers

Congruent means there's exact shape and angle magnitude since transformation requires relocation of an image there's no change to it's shape therefore it's congruent

Congruent means it’s the same

I need help please! Not sure on this one.

Answers

Answer:

The scale factor is 0.5

Step-by-step explanation:

Figure A is 4 blocks wide and 4 blocks tall, Figure B is 2 blocks tall and 2 blocks wide, to get Figure B from Figure A you would need to scale it down by half (0.5)

This would be 0.5 for the scale factor

if 29 cos 0=21 find the value of 1/sin0-tan0..

Answers

It should be 21 20. Sorry if I got it wrong

Answer:

Middle School mathematics still murky?

Clear things up with an instant 1 on 1 tutoring sesh

Give correct answer and I will give you branlist

Answers

Hello!

Space = 5 cm + 10cm + 10cm + 20cm + 22cm + 30cm => space = 15cm + 10cm + 20cm + 22cm + 30cm => space = 25cm + 20cm + 22cm + 30cm => space = 45cm + 22cm + 30cm => space = 67cm + 30cm => space = 97cm²

Good luck! :)

Answer:

97cm square

Step-by-step explanation:

(08.05)The box plot shows the number of years during which 24 colleges have participated in a local college fair:
Years of Participation
0
10
5
Years
At least how many schools have participated for 2 years or fewer?
2schools
4schools
6schools
7 schools

Answers

Where is the plot (Unnecessary Stuff)
The answer is 7 schools or d

The graph of a function is shown:

A coordinate grid is shown from negative 5 to 5 on both axes at increments of 1. A graph shows three straight lines. The first straight line joins ordered pair negative 3, negative 2 with negative 2, 2. The second straight line joins ordered pair negative 2, 2 with 2, 2. The third straight line joins ordered pair 2, 2 with 4, 0. The ordered pair negative 3, negative 2 is labeled as A, the ordered pair negative 2, 2 is labeled as B, the ordered pair 0, 2 is labeled as C, the ordered pair 2, 2 is labeled as D, and the ordered pair 4, 0 is labeled as E.
In which part of the graph is the function increasing? (5 points)

AB
BC
CD
DE

Answers

Mark as brainalist
Answer is AB
the answer is AB hope this helps

1 2/3 times 2 1/2 plz help

Answers

Answer:

4 1/6

Step-by-step explanation:

One of the faster ways in which we can do this problem is to change the mixed numbers 1 2/3 and 2 1/2 to improper fractions.

Then the product of 1 2/3 and 2 1/2 is 5/3·5/2, which comes out to 25/6.

25/6 in turn comes out as 4 1/6 (answer)

You can turn these into improper fractions to help you. 5/3 x 5/2 = 10/6
As a mixed number your answer is 1 4/6

Use the drop-down menus to complete each equation so the statement about its solution is true.

Answers

Answer:

7x+5

Step-by-step explanation:

2x+5+2x+3x

=2x+2x+3x+5

=7x+5

The answer to the question is 7x+5

HELPPPPP PLEASE
(04.02 MC)
What is the solution to the following system of equations?
4x + 2y = 6
x - y = 3
(2, 1)
(-2, -1)
(2, 4)
(2, -1)

Answers

Answer: Choice D.  (2, -1)

======================================================

Explanation:

Double everything in the second equation to go from x-y = 3 to 2x-2y = 6.

So we have this equivalent system of equations

[tex]\begin{cases}4x+2y = 6\\2x-2y=6\end{cases}[/tex]

We can then add straight down. The x terms add to 6x. The y terms go away because they add to 0. The stuff on the right hand sides add to 12.

After those three sets of addition operations, we have the new equation 6x = 12 which solves to x = 2 after dividing both sides by 6.

Now use x = 2 with any of the equations mentioned that have x,y involved so we can solve for y.

4x+2y = 6

4(2)+2y = 6

8+2y = 6

2y = 6-8

2y = -2

y = -2/2

y = -1

or we could say

x-y = 3

2-y = 3

-y = 3-2

-y = 1

y = -1

Either way, we get the same y value.

Since x = 2 and y = -1 pair up together, we get the ordered pair solution (x,y) = (2, -1). Therefore, the answer is choice D.

If you were to graph the two equations, as shown below, the two lines intersect at (2,-1). This point is on both lines at the same time. This is visual confirmation that the point is a solution to both equations. Though you should still algebraically check each original equation.

2,-1 is the answer i’m pretty sure

Hello! Please help ASAP!!!
Turn this problem into a Pythagorean Theorem diagram
DRAW A DIAGRAM!! I ONLY NEED THE DIAGRAM

Aleena’s car is 7 miles north from Starbucks. Aryona’s car is located 4 miles west from Aleena. How far is Aryona from the Starbucks.

Answers

Answer:

So put the car at a dot at (0,7)

Aleena is at (4,7)

the starbucks is at (0,0)

Hope This Helps!!!

Aryona is (7.4)miles far away from the Starbucks

Is the following question a statistical question:

How far do students live from their school building?
In complete sentences, explain why or why not.

Answers

Answer:

they live 10 miles away form school.

The solution is : Is in, general, how tall are giraffes? is a :

Statistical question.

What is statistic?

A statistic (singular) or sample statistic is any quantity computed from values in a sample which is considered for a statistical purpose. Statistical purposes include estimating a population parameter, describing a sample, or evaluating a hypothesis.

Given question

Is in, how tall are giraffes?

Statistical question is that type of question which have more than one possible answers. The answer of statistical question is the collection of various  points of data. The answer of statistical question depends on variety and situations. The answer of statistical question may be range . Answer of statistical question are more than one.

Non statistical question is that type of question which have only one answer.

For example, the value of 2+2

Answer: 2+2=4

It has only one answer .Therefore , it is non statistical question.

Given question is a statistical question because the height of all giraffes are not same . Height of some giraffes are same and some giraffes have same height. The height  of female giraffes are smaller than the height of male giraffes.

The range of  height of male giraffes lies between 16 feet to 20 feet.

learn more on statistic:

https://brainly.com/question/29257078

#SPJ3

complete question:

Is in, general, how tall are giraffes? A statistical question or non statistical question

Which sequence of transformations will change figure PQRS to figure P′Q′R′S′? (5 points)

A coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. Figure PQRS has P at ordered pair 1, 2, Q at 2,1, R at 3,2, S at 3,3.

Figure P prime Q prime R prime S prime has P prime at ordered pair 1,negative 2, Q prime at 2,negative 1, R prime at 3,negative 2 and S prime at 3,negative 3.
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection about the y-axis

Answers

Answer:

Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis

Step-by-step explanation:

Juan runs in place for 2 5/6 minutes on Monday. He runs in place for 1 1/2 times as long on Tuesday.

Juan draws this model to represent the number of minutes he runs in place on Tuesday.

How many minutes does Juan run in place on Tuesday?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer:

12miles

Step-by-step explanation:

wink :)

please help! :( ive been stuck on this for about 30 minutes


Suppose each cube in this right rectangular prism is a -inch unit cube.




What are the dimensions of the prism?

What is the volume of the prism?

Answers

Answer:

dimensions: 4x5x3

volume: 60 cube inches

Step-by-step explanation:

assuming each cube is a one inch cube:

the dimensions of the prism are length 5 -inches, width 4 -inches and height 3 -inches. So, 4x5x3

the volume of a prism is the length x width x height, so the volume is 4x5x3 = 60 inches cubed.

Answer:

length = 5 inches

width  = 4 inches

height = 3 inches

So dimensions are 5 x 4 x 3 inches

Volume = l · w · h

V = 5 · 4 · 3 = 60 square inches.

please help me find the answer or at least give me the formula

Answers

Answer:

[tex]2\sqrt{2x}[/tex] or [tex]8x^2[/tex]

Step-by-step explanation:

first you find the distance between P and O which is 4n (use the distance formula -- [tex]\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)}[/tex])

then find the distance between O and Q also using the distance formula; it gives you 4n

then find the hypotunuse by using the pythagorean theorem, [tex]a^2+b^2=c^2[/tex] which would be [tex]4n^2+4n^2=hypotenuse[/tex] and when you simplify it, you get [tex]8x^2[/tex] and if you need it in radical form, it would be [tex]2\sqrt{2x}[/tex]

Answer:

[tex]Hypotenuse = 4n \sqrt{2} [/tex]

Step-by-step explanation:

Catethus1=4n

Catethus2=4n

Hypotenuse=?

[tex]Hypotenuse= \sqrt{{(catethus1)}^{2} + {(catethus2)}^{2}} \: = \sqrt{{(4n)}^{2} + {(4n)}^{2}} \: = 4n \sqrt{2} [/tex]

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