Question

Simplify 9 to the 2nd over 9 to the 7th.

Answer 1

81/4782969
9/531441
3/177146
1/59049

Answer 2

The simplified form of
`(9^2)/(9^7)` is
`(1)/(9^5)`.

Explanation:

Consider the provided information.

9 to the 2nd over 9 to the 7th

This can be written as:

`(9^2)/(9^7)`

Use the quotient rule of exponent:

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

By using the above rule.

`9^(2-7)`

`9^(-5)`

Now use the negative exponent rule:
`a^(-n)=(1)/(a^n)`

By using the above rule:

`9^(-5)=(1)/(9^5)`

Hence, the simplified form of
`(9^2)/(9^7)` is
`(1)/(9^5)`.