Divide square root of (a^(9b^8))/(9ab^2)

Math
a9b89ab2
Reduce the expression a9b89ab2 by cancelling the common factors.
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Factor a out of a9b8.
a⋅a9b8-19ab2
Factor a out of 9ab2.
a⋅a9b8-1a(9b2)
Cancel the common factor.
a⋅a9b8-1a(9b2)
Rewrite the expression.
a9b8-19b2
a9b8-19b2
Rewrite a9b8-19b2 as (13b)2a9b8-1.
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Factor the perfect power 12 out of a9b8-1.
12a9b8-19b2
Factor the perfect power (3b)2 out of 9b2.
12a9b8-1(3b)2⋅1
Rearrange the fraction 12a9b8-1(3b)2⋅1.
(13b)2a9b8-1
(13b)2a9b8-1
Pull terms out from under the radical.
13ba9b8-1
Combine 13b and a9b8-1.
a9b8-13b
Divide square root of (a^(9b^8))/(9ab^2)

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