# Simplify ((4v^3)/u)^3

(4v3u)3
Use the power rule (ab)n=anbn to distribute the exponent.
Apply the product rule to 4v3u.
(4v3)3u3
Apply the product rule to 4v3.
43(v3)3u3
43(v3)3u3
Simplify the numerator.
Raise 4 to the power of 3.
64(v3)3u3
Multiply the exponents in (v3)3.
Apply the power rule and multiply exponents, (am)n=amn.
64v3⋅3u3
Multiply 3 by 3.
64v9u3
64v9u3
64v9u3
Simplify ((4v^3)/u)^3

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