Move to the numerator using the negative exponent rule .

Rewrite the expression using the negative exponent rule .

Combine and .

Combine and .

Move to the left of .

Apply the product rule to .

Apply the product rule to .

Raise to the power of .

Apply the power rule and multiply exponents, .

Multiply by .

Rewrite the expression using the negative exponent rule .

Combine and .

Apply the product rule to .

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 .

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply and .

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

Apply the product rule to .

Apply the product rule to .

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 .

Raise to the power of .

Simplify (((3xy^-5)^3)/((x^-2y^2)^-4))^-2