# What is the power of a quotient property?

##### 1 Answer

The Power of a Quotient Rule states that the power of a quotient is equal to the quotient obtained when the numerator and denominator are each raised to the indicated power separately, before the division is performed.

i.e.:

For example:

You can test this rule by using numbers that are easy to manipulate:

Consider:

Let us, now, solve the fraction first and then raise to the power of

This rule is particularly useful if you have more difficult problems such as an algebraic expression (with letters):

Consider:

You can now write: