Answer:
Step-by-step explanation:
Area of a square = s²
s is the side length of the square
Given
s = 2^{7 1/2}
s = 2^15/2
Area = ( 2^15/2)²
Area = 2^15
Hence two area of the square is 2^15 inches
Answer:
2
Step-by-step explanation:
$24 equals 7 pencils, each x dollars worth, and the $10 left over: 24=7x+10.
Solve for x, 24-10=7x
14=7x
$2=x
The cost of each pencil is $2
For this case we have the following expression:

By definition of properties of powers and roots we have to:
![a ^ {\frac {m} {n}} = \sqrt [n] {a ^ m}](https://tex.z-dn.net/?f=a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D%20%3D%20%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D)
Then, we can rewrite the expression as:
![\sqrt [8] {4 ^ 3}](https://tex.z-dn.net/?f=%5Csqrt%20%5B8%5D%20%7B4%20%5E%203%7D)
Answer:
![4 ^ {\frac {3} {8}} = \sqrt [8] {4 ^ 3}](https://tex.z-dn.net/?f=4%20%5E%20%7B%5Cfrac%20%7B3%7D%20%7B8%7D%7D%20%3D%20%5Csqrt%20%5B8%5D%20%7B4%20%5E%203%7D)