# Simplify (-3u^2v)^5

(-3u2v)5
Use the power rule (ab)n=anbn to distribute the exponent.
Apply the product rule to -3u2v.
(-3u2)5v5
Apply the product rule to -3u2.
(-3)5(u2)5v5
(-3)5(u2)5v5
Raise -3 to the power of 5.
-243(u2)5v5
Multiply the exponents in (u2)5.
Apply the power rule and multiply exponents, (am)n=amn.
-243u2⋅5v5
Multiply 2 by 5.
-243u10v5
-243u10v5
Simplify (-3u^2v)^5

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