Simplify ((-9b)/(a^3))^2

Math
(-9ba3)2
Move the negative in front of the fraction.
(-(9)ba3)2
Use the power rule (ab)n=anbn to distribute the exponent.
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Apply the product rule to -9ba3.
(-1)2(9ba3)2
Apply the product rule to 9ba3.
(-1)2(9b)2(a3)2
Apply the product rule to 9b.
(-1)292b2(a3)2
(-1)292b2(a3)2
Raise -1 to the power of 2.
192b2(a3)2
Multiply 92b2(a3)2 by 1.
92b2(a3)2
Raise 9 to the power of 2.
81b2(a3)2
Multiply the exponents in (a3)2.
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Apply the power rule and multiply exponents, (am)n=amn.
81b2a3⋅2
Multiply 3 by 2.
81b2a6
81b2a6
Simplify ((-9b)/(a^3))^2

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