# Simplify (-(6u^3)/(4v^4))^2

(-6u34v4)2
Cancel the common factor of 6 and 4.
Factor 2 out of 6u3.
(-2(3u3)4v4)2
Cancel the common factors.
Factor 2 out of 4v4.
(-2(3u3)2(2v4))2
Cancel the common factor.
(-2(3u3)2(2v4))2
Rewrite the expression.
(-3u32v4)2
(-3u32v4)2
(-3u32v4)2
Use the power rule (ab)n=anbn to distribute the exponent.
Apply the product rule to -3u32v4.
(-1)2(3u32v4)2
Apply the product rule to 3u32v4.
(-1)2(3u3)2(2v4)2
Apply the product rule to 3u3.
(-1)232(u3)2(2v4)2
Apply the product rule to 2v4.
(-1)232(u3)222(v4)2
(-1)232(u3)222(v4)2
Simplify the expression.
Raise -1 to the power of 2.
132(u3)222(v4)2
Multiply 32(u3)222(v4)2 by 1.
32(u3)222(v4)2
32(u3)222(v4)2
Simplify the numerator.
Raise 3 to the power of 2.
9(u3)222(v4)2
Multiply the exponents in (u3)2.
Apply the power rule and multiply exponents, (am)n=amn.
9u3⋅222(v4)2
Multiply 3 by 2.
9u622(v4)2
9u622(v4)2
9u622(v4)2
Simplify the denominator.
Raise 2 to the power of 2.
9u64(v4)2
Multiply the exponents in (v4)2.
Apply the power rule and multiply exponents, (am)n=amn.
9u64v4⋅2
Multiply 4 by 2.
9u64v8
9u64v8
9u64v8
Simplify (-(6u^3)/(4v^4))^2

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