# Simplify (2m^2n^-2)^-2*(2nm^4)

Rewrite using the commutative property of multiplication.
Rewrite the expression using the negative exponent rule .
Multiply .
Combine and .
Combine and .
Move to the left of .
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 .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Multiply by .
Simplify the denominator.
Raise to the power of .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Multiply by .
Simplify terms.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Combine and .
Multiply by by adding the exponents.
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Simplify (2m^2n^-2)^-2*(2nm^4)

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