Question

A^3b^2 divided by a^-1b^-3

Answer 1

`(a^3 b^2)/((1)/(a) (1)/(b^3))`

And simplifying we got:

`a^3 b^2 a b^3`

`a^3 a b^2 b^3 = a^(3+1) b^(2+3) = a^4 b^5`

Explanation:

We want to simplify the following expression:

`(a^3 b^2)/(a^(-1) b^(-3))`

And we can rewrite this expression using this property for any number a:

`a^(-1)= (1)/(a)`

And using this property we have:

`(a^3 b^2)/((1)/(a) (1)/(b^3))`

And simplifying we got:

`a^3 b^2 a b^3`

`a^3 a b^2 b^3 = a^(3+1) b^(2+3) = a^4 b^5`