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

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

User Wychmaster
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1 Answer

5 votes
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.

User Imilbaev
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