Question

What is the quotient of powers property?

Answer 1

`(a^m)/(a^n)=a^(m-n)`

This property allows you to simplify problems where you have a fraction of the same numbers ( `a`) raised to different powers (`m and n`).
For example:

`(3^3)/(3^2)=(3*3*3)/(3*3)=3^(3-2)=3`

You can see how the power of 3, in the numerator, is "reduced" by the presence of the power 2 in the denominator.

You can also check te result by doing the multiplications:

`(3^3)/(3^2)=(3*3*3)/(3*3)=27/9=3`

As a challenge try to find out what happens when `m=n` !!!!!