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Zensu

Hi, this should be the answer.

Hope this helps :)

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Answer:

C [tex]\frac{y^\frac{1}{2} }{xz^2}[/tex]

Step-by-step explanation:

To find an equivalent (or equal) expression, simplify the operations using exponent rules. Apply the power to a power rule and the negative exponent rule to turn all negative exponents positive. This is applied by moving any bases with negative exponents to the denominator.

[tex](x^\frac{1}{2}y^\frac{-1}{4}z)^{-2} = (x^\frac{-2}{2}y^\frac{2}{4}z^{-2})=\frac{y^\frac{1}{2} }{xz^2}[/tex]