# Simplify ((2m^3n)/3)^3

(2m3n3)3
Use the power rule (ab)n=anbn to distribute the exponent.
Apply the product rule to 2m3n3.
(2m3n)333
Apply the product rule to 2m3n.
(2m3)3n333
Apply the product rule to 2m3.
23(m3)3n333
23(m3)3n333
Simplify the numerator.
Raise 2 to the power of 3.
8(m3)3n333
Multiply the exponents in (m3)3.
Apply the power rule and multiply exponents, (am)n=amn.
8m3⋅3n333
Multiply 3 by 3.
8m9n333
8m9n333
8m9n333
Raise 3 to the power of 3.
8m9n327
Simplify ((2m^3n)/3)^3

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