Question

How do you simplify `\frac { a ^ { 4} b ^ { 3} } { ( a b ^ { 2} ) ^ { 4} }`?

Answer 1

`=1/b^5`

Explanation:

Remove the brackets in the denominator first.

`(a^4b^3)/(ab^2)^4`

`= (a^4b^3)/(a^4b^8)" "` Now simplify:

`= (cancel(a^4)b^3)/(cancel(a^4)b^8)" "`subtract the indices of like bases

`=1/b^5`