# How do you simplify (10)^-2 - (-10)^-2?

Jul 12, 2016

${\left(10\right)}^{- 2} - {\left(- 10\right)}^{- 2} = 0$

#### Explanation:

As ${a}^{- m} = \frac{1}{a} ^ m$ and if n is an even integer ${\left(- a\right)}^{n} = {a}^{n}$. Hence

${\left(10\right)}^{- 2} - {\left(- 10\right)}^{- 2}$

= ${\left(10\right)}^{- 2} - {\left(10\right)}^{- 2}$

= $\frac{1}{10} ^ 2 - \frac{1}{10} ^ 2$

= $0$