# Simplify (-2zy^4)^5

(-2zy4)5
Use the power rule (ab)n=anbn to distribute the exponent.
Apply the product rule to -2zy4.
(-2z)5(y4)5
Apply the product rule to -2z.
(-2)5z5(y4)5
(-2)5z5(y4)5
Raise -2 to the power of 5.
-32z5(y4)5
Multiply the exponents in (y4)5.
Apply the power rule and multiply exponents, (am)n=amn.
-32z5y4⋅5
Multiply 4 by 5.
-32z5y20
-32z5y20
Simplify (-2zy^4)^5

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