Rewrite the expression using the negative exponent rule .

Combine and .

Combine and .

Change the sign of the exponent by rewriting the base as its reciprocal.

Apply the product rule to .

Apply the product rule to .

Apply the power rule and multiply exponents, .

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Simplify.

Simplify (x^(1/2)y^(-1/4)z)^-2