Simplify ((-3w^3)/v)^2

Math
(-3w3v)2
Move the negative in front of the fraction.
(-(3)w3v)2
Use the power rule (ab)n=anbn to distribute the exponent.
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Apply the product rule to -3w3v.
(-1)2(3w3v)2
Apply the product rule to 3w3v.
(-1)2(3w3)2v2
Apply the product rule to 3w3.
(-1)232(w3)2v2
(-1)232(w3)2v2
Simplify the expression.
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Raise -1 to the power of 2.
132(w3)2v2
Multiply 32(w3)2v2 by 1.
32(w3)2v2
32(w3)2v2
Simplify the numerator.
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Raise 3 to the power of 2.
9(w3)2v2
Multiply the exponents in (w3)2.
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Apply the power rule and multiply exponents, (am)n=amn.
9w3⋅2v2
Multiply 3 by 2.
9w6v2
9w6v2
9w6v2
Simplify ((-3w^3)/v)^2

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