# Simplify (4v^2u^3)^3

(4v2u3)3
Use the power rule (ab)n=anbn to distribute the exponent.
Apply the product rule to 4v2u3.
(4v2)3(u3)3
Apply the product rule to 4v2.
43(v2)3(u3)3
43(v2)3(u3)3
Raise 4 to the power of 3.
64(v2)3(u3)3
Multiply the exponents in (v2)3.
Apply the power rule and multiply exponents, (am)n=amn.
64v2⋅3(u3)3
Multiply 2 by 3.
64v6(u3)3
64v6(u3)3
Multiply the exponents in (u3)3.
Apply the power rule and multiply exponents, (am)n=amn.
64v6u3⋅3
Multiply 3 by 3.
64v6u9
64v6u9
Simplify (4v^2u^3)^3

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