# How do you write 10^-5 in decimal form?

Oct 9, 2015

${10}^{- 5} = 0.00001$

#### Explanation:

By definition of negative power, ${A}^{- n} = \frac{1}{{A}^{n}}$

Therefore, by definition, ${10}^{- 5} = \frac{1}{{10}^{5}}$
Obviously,
$\frac{1}{{10}^{5}} = \frac{1}{100000} = 0.00001$

Hence, ${10}^{- 5} = 0.00001$