# Simplify ((3n^3)/4)^2

(3n34)2
Use the power rule (ab)n=anbn to distribute the exponent.
Apply the product rule to 3n34.
(3n3)242
Apply the product rule to 3n3.
32(n3)242
32(n3)242
Simplify the numerator.
Raise 3 to the power of 2.
9(n3)242
Multiply the exponents in (n3)2.
Apply the power rule and multiply exponents, (am)n=amn.
9n3⋅242
Multiply 3 by 2.
9n642
9n642
9n642
Raise 4 to the power of 2.
9n616
Simplify ((3n^3)/4)^2

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