Which expression is equivalent to open paren x raised to the 1 half power y raised to the negative 1 fourth power z close paren to the negative 2 power ?

Raise each factor inside the parentheses to the power −2 by multiplying its exponent by −2: x^(1/2) becomes x^(−1), y^(−1/4) becomes y^(1/2), and z becomes z^(−2). Rewrite the negative exponents in the denominator to get y^(1/2)/(xz^2). This matches choice C, the fraction with numerator y raised to the 1/2 power and denominator xz squared.

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