Question

Simplify (This is a fraction) : 9^6 over 9^7

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

9^5
1 over 9^9
1 over 9^-5
1 over 9^5

Answer 1

when 2 exponents of like bases are divided, you can subtract the exponents

1.
`(9^6)/(9^7) = (1)/(9)`

2.
`(9^2)/(9^7) = (1)/(9^5)`

3.
`9^5 = 9^5`

4.
`(1)/(9^9) = (1)/(9^9)`

5. negative exponents mean move to opposite sides, so

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

6.
`(1)/(9^5) = (1)/(9^5)`