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

(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

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

Raise 3 to the power of 3.

8m9n327

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