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.


Step-by-step explanation:


1) Expression given:



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


2) Use power of power property:



`{ (x^(3/8) )}^(z/3)= x^{ (3)/(8) (z)/(3) } =x^{ (z)/(8) }`

3) Use fraction exponent property:



`x^{ (z)/(8) }= \sqrt[8]{x^z}`


That is an eigth root.