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sladkih [1.3K]
3 years ago
5

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

Mathematics
1 answer:
Lostsunrise [7]3 years ago
4 0
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.

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Step-by-step explanation:

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We simply need to reorganize the expression and isolate k for the frst answer:
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4 years ago
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Answer:

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