# How do you simplify 7^-6/7^-8?

Nov 28, 2016

$= {7}^{2}$

#### Explanation:

Recall the law of indices$\text{ } {x}^{-} m = \frac{1}{x} ^ m$

${7}^{-} \frac{6}{7} ^ - 8$

$= {7}^{8} \times {7}^{-} 6$

$= {7}^{8 - 6} = {7}^{2}$

Note you could also use the law$\text{ } {x}^{m} / {x}^{n} = {x}^{m - n}$

${7}^{-} \frac{6}{7} ^ - 8$

$= {7}^{- 6 - \left(- 8\right)} = {7}^{- 6 + 8}$

$= {7}^{2}$