A number to the 9th power divided by the same number to the 6th power equals 512. What is the

number?

The answer is 5

explanation:

Let's call our number

a

. The statement written as a formula is

a

12

a

9

=

125

We can simplify the fraction, and we have

a

3

=

125

To solve for

a

, take the third root of both sides:

a

=

(

125

)

1

3

=

5