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