Simplify ((4ab^-3)/(3b))^3

Math
(4ab-33b)3
Move b-3 to the denominator using the negative exponent rule b-n=1bn.
(4a3b⋅b3)3
Multiply b by b3 by adding the exponents.
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Move b3.
(4a3(b3b))3
Multiply b3 by b.
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Raise b to the power of 1.
(4a3(b3b1))3
Use the power rule aman=am+n to combine exponents.
(4a3b3+1)3
(4a3b3+1)3
Add 3 and 1.
(4a3b4)3
(4a3b4)3
Use the power rule (ab)n=anbn to distribute the exponent.
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Apply the product rule to 4a3b4.
(4a)3(3b4)3
Apply the product rule to 4a.
43a3(3b4)3
Apply the product rule to 3b4.
43a333(b4)3
43a333(b4)3
Raise 4 to the power of 3.
64a333(b4)3
Simplify the denominator.
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Raise 3 to the power of 3.
64a327(b4)3
Multiply the exponents in (b4)3.
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Apply the power rule and multiply exponents, (am)n=amn.
64a327b4⋅3
Multiply 4 by 3.
64a327b12
64a327b12
64a327b12
Simplify ((4ab^-3)/(3b))^3

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