Simplify (6ab^2)(12ab^-2)^-1

Math
(6ab2)(12ab-2)-1
Rewrite the expression using the negative exponent rule b-n=1bn.
6ab2(12a1b2)-1
Multiply 12a1b2.
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Combine 12 and 1b2.
6ab2(a12b2)-1
Combine a and 12b2.
6ab2(a⋅12b2)-1
6ab2(a⋅12b2)-1
Move 12 to the left of a.
6ab2(12⋅ab2)-1
Change the sign of the exponent by rewriting the base as its reciprocal.
6ab2b212a
Cancel the common factor of 6a.
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Factor 6a out of 6ab2.
6a(b2)b212a
Factor 6a out of 12a.
6a(b2)b26a(2)
Cancel the common factor.
6ab2b26a⋅2
Rewrite the expression.
b2b22
b2b22
Combine b2 and b22.
b2b22
Multiply b2 by b2 by adding the exponents.
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Use the power rule aman=am+n to combine exponents.
b2+22
Add 2 and 2.
b42
b42
Simplify (6ab^2)(12ab^-2)^-1

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