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

Move to the numerator using the negative exponent rule .
Rewrite the expression using the negative exponent rule .
Multiply .
Combine and .
Combine and .
Move to the left of .
Use the power rule to distribute the exponent.
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 .
Rewrite the expression using the negative exponent rule .
Combine and .
Apply basic rules of exponents.
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 .
Cancel the common factor of .
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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.
Use the power rule to distribute the exponent.
Apply the product rule to .
Apply the product rule to .
Simplify the numerator.
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