Question

32a³b²
_____

8ab²

Simplify the following expression.

Answer 1

`4a^(2)`

Explanation:

We need to simplify the following expression:

`y=(32a^(3)b^(2))/(8ab^(2))`

We know that:
`(x^(a))/(x^(b))=x^(a-b)`. Applying this rule, we have that:

`y = (32a^(3)b^(2))/(8ab^(2)) = 4a^(3-1)b^(2-2) = 4a^(2)`

Then, the solution is:
`4a^(2)`