Rewrite the expression using the negative exponent rule .

Rewrite the expression using the negative exponent rule .

Apply the product rule to .

Apply the product rule to .

Apply the product rule to .

Raise to the power of .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

Multiply the numerator by the reciprocal of the denominator.

Multiply and .

Multiply and .

Use the power rule to combine exponents.

Add and .

Multiply by by adding the exponents.

Move .

Use the power rule to combine exponents.

Add and .

Simplify (-2xy^3z^2)^-2((y^-2)/(z^2))