Question

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

Answer 1

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