Simplify (a/(-3b^3))^2

Math
(a-3b3)2
Move the negative in front of the fraction.
(-a(3)b3)2
Use the power rule (ab)n=anbn to distribute the exponent.
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Apply the product rule to -a3b3.
(-1)2(a3b3)2
Apply the product rule to a3b3.
(-1)2a2(3b3)2
Apply the product rule to 3b3.
(-1)2a232(b3)2
(-1)2a232(b3)2
Simplify the expression.
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Raise -1 to the power of 2.
1a232(b3)2
Multiply a232(b3)2 by 1.
a232(b3)2
a232(b3)2
Simplify the denominator.
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Raise 3 to the power of 2.
a29(b3)2
Multiply the exponents in (b3)2.
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Apply the power rule and multiply exponents, (am)n=amn.
a29b3⋅2
Multiply 3 by 2.
a29b6
a29b6
a29b6
Simplify (a/(-3b^3))^2

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