Question

What root of x does the expression (x3/8)^z/3 yield?

A: Square Root
B: Cube Root
C: Fourth Root
D: Eighth Root

Answer 1

Answer: option D: eight root.


Explanation:


1) Expression given:


${ (x^{3/8} )}^{z/3}$


2) Use power of power property: 


${ (x^{3/8} )}^{z/3}= x^{ \frac{3}{8} \frac{z}{3} } =x^{ \frac{z}{8} }$

3) Use fraction exponent property:


$x^{ \frac{z}{8} }= \sqrt[8]{x^z}$


That is an eigth root.