Move to the denominator using the negative exponent rule .

Move .

Use the power rule to combine exponents.

Add and .

Move to the numerator using the negative exponent rule .

Move .

Use the power rule to combine exponents.

Add 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 product rule to .

Raise to the power of .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

Raise to the power of .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

Simplify ((3z^5y^-4)/(4z^-2y^5))^-2