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

Math
(2m3n3)3
Use the power rule (ab)n=anbn to distribute the exponent.
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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.
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Raise 2 to the power of 3.
8(m3)3n333
Multiply the exponents in (m3)3.
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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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