# How do you simplify (-2^5)(7^-10)?

Jun 3, 2017

See a solution process below:

#### Explanation:

The negative exponent can be eliminated using this rule for exponents:

${x}^{\textcolor{red}{a}} = \frac{1}{x} ^ \textcolor{red}{- a}$

$\left(- {2}^{5}\right) \left({7}^{\textcolor{red}{- 10}}\right) \implies \left(- {2}^{5}\right) \left(\frac{1}{7} ^ \textcolor{red}{- - 10}\right) \implies$

$\left(- {2}^{5}\right) \left(\frac{1}{7} ^ \textcolor{red}{10}\right) \implies - {2}^{5} / {7}^{10}$

Or

$- \frac{32}{282 , 475 , 249}$