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


The formula of a distance between two points:

We have the points (-1, 8) and (5, -2). Substitute:

5/8 = 2/3 the entire box
Half of 2/3 is 1/3, and 2/3 + 1/3 = 1
So find half of 5/8 and add it to 5/8.
5/8 * 1/2 = 5/16
5/8 + 5/16
Change 5/8 to a fraction with a denominator of 16:
10/16 + 5/16 = 15/16
So the original weight is 15/16 pounds.