Answer:

Step-by-step explanation:
Given expression is:
![(\sqrt[8]{x^7} )^{6}](https://tex.z-dn.net/?f=%28%5Csqrt%5B8%5D%7Bx%5E7%7D%20%29%5E%7B6%7D)
First we will use the rule:
![\sqrt[n]{x} = x^{\frac{1}{n} }](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7Bn%7D%20%7D)
So for the given expression:
![\sqrt[8]{x^{7}}=(x^{7} )^{\frac{1}{8} }](https://tex.z-dn.net/?f=%5Csqrt%5B8%5D%7Bx%5E%7B7%7D%7D%3D%28x%5E%7B7%7D%20%29%5E%7B%5Cfrac%7B1%7D%7B8%7D%20%7D)
We will use tha property of multiplication on powers:


Applying the outer exponent now


Considering the perimeter of a square, it is found that:
- The length of one side of the garage originally was of 61.5 ft.
- The length of one side of the garage now is of 92.25 ft.
- The percent increase in the length of one side was of 50%.
<h3>What is the perimeter of a square?</h3>
The perimeter of a square of side length s is given by four times the length, that is:
P = 4s.
Before the change, the perimeter was of 246 ft, hence:
4s = 246
s = 246/4
s = 61.5.
The length of one side of the garage originally was of 61.5 ft.
After that, the perimeter increased by 50%, hence:
P = 246 x 1.5 = 369.
4s = 369
s = 369/4
s = 92.25.
The length of one side of the garage now is of 92.25 ft.
The percent increase is the increase divided by the initial value, hence:
(92.25 - 61.5)/61.5 = 50%.
The percent increase in the length of one side was of 50%.
More can be learned about the perimeter of a square at brainly.com/question/10489198
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The answer is D
Hope this helps :)
The total cost will be $52.44.
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Answer:
all you gotta do is convert miles to yards using google. (or bing if you are a nerd)
Step-by-step explanation: