Question

How do you simplify `(m^4/(5n^9))^3` and write it using only positive exponents?

Answer 1

`=m^12/(125n^27)`

Explanation:

The power law of indices: raising a power to a power, multiply the indices.

`(x^m)^n = x^(mxxn) = x^(mn)`

`(m^4/(5n^9))^3`

`= m^(4xx3)/(5^3n^(9xx3)`

`=m^12/(125n^27)`

There are only positive indices.