# Simplify (4zy^4)^2

(4zy4)2
Use the power rule (ab)n=anbn to distribute the exponent.
Apply the product rule to 4zy4.
(4z)2(y4)2
Apply the product rule to 4z.
42z2(y4)2
42z2(y4)2
Raise 4 to the power of 2.
16z2(y4)2
Multiply the exponents in (y4)2.
Apply the power rule and multiply exponents, (am)n=amn.
16z2y4⋅2
Multiply 4 by 2.
16z2y8
16z2y8
Simplify (4zy^4)^2

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