Question

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

Answer 1

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

1. $\frac{9^6}{9^7} = \frac{1}{9}$

2. $\frac{9^2}{9^7} = \frac{1}{9^5}$

3. $9^5 = 9^5$

4. $\frac{1}{9^9} = \frac{1}{9^9}$

5. negative exponents mean move to opposite sides, so

$\frac{1}{9^{-5}} = \frac{9^5}{1}=9^5$

6. $\frac{1}{9^5} = \frac{1}{9^5}$