Simplify ((a^4)/(-9b^3))^2

Math
(a4-9b3)2
Move the negative in front of the fraction.
(-a4(9)b3)2
Use the power rule (ab)n=anbn to distribute the exponent.
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Apply the product rule to -a49b3.
(-1)2(a49b3)2
Apply the product rule to a49b3.
(-1)2(a4)2(9b3)2
Apply the product rule to 9b3.
(-1)2(a4)292(b3)2
(-1)2(a4)292(b3)2
Simplify the expression.
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Raise -1 to the power of 2.
1(a4)292(b3)2
Multiply (a4)292(b3)2 by 1.
(a4)292(b3)2
Multiply the exponents in (a4)2.
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Apply the power rule and multiply exponents, (am)n=amn.
a4⋅292(b3)2
Multiply 4 by 2.
a892(b3)2
a892(b3)2
a892(b3)2
Simplify the denominator.
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Raise 9 to the power of 2.
a881(b3)2
Multiply the exponents in (b3)2.
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Apply the power rule and multiply exponents, (am)n=amn.
a881b3⋅2
Multiply 3 by 2.
a881b6
a881b6
a881b6
Simplify ((a^4)/(-9b^3))^2

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