How do you simplify (x^-6)^4?

Jul 17, 2016

${x}^{- 24} = \frac{1}{x} ^ \left(24\right)$

Explanation:

Using the $\textcolor{b l u e}{\text{laws of indices}}$

$\textcolor{\mathmr{and} a n \ge}{\text{Reminder}}$

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{{\left({a}^{m}\right)}^{n} = {a}^{m n}} \textcolor{w h i t e}{\frac{a}{a}} |}}} \text{ and } \textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{{a}^{-} m \Leftrightarrow \frac{1}{a} ^ m} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

$\Rightarrow {\left({x}^{- 6}\right)}^{4} = {x}^{- 6 \times 4} = {x}^{- 24} = \frac{1}{x} ^ \left(24\right)$