Question

How do you simplify `(m^2)^4/(m^3m^2)` and write it using only positive exponents?

Answer 1

`m^3`

Explanation:

There are only positive exponents, let's try and keep it that way.

In the numerator: Use the power law to remove the brackets.
In the denominator: the bases are the same, add the indices.

`((m^2)^4)/(m^3m^2) = m^8/m^5`

The bases are the same, subtract the indices.

`m^8/m^5 = m^3`