Using the conversion of exponent to power, the equivalent expression is given as follows:
[tex]\frac{\sqrt{x}}{\sqrt[4]{y}z^2}[/tex]
It happens according to the following rule, with the denominator as the root and the numerator as the exponent:
[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]
In this problem, we are given the following expression:
[tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex]
Negative exponents go to the denominator, hence the equivalent expression is given by:
[tex]\frac{\sqrt{x}}{\sqrt[4]{y}z^2}[/tex]
More can be learned about the conversion of exponent to power at brainly.com/question/2020414
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