How do you simplify (2b^4)^-1 and write it using only positive exponents?

Mar 12, 2017

$\frac{1}{2 {b}^{4}}$

Explanation:

${\left(2 {b}^{4}\right)}^{-} 1$

$\therefore {\left({a}^{\textcolor{red}{m}}\right)}^{\textcolor{g r e e n}{n}} = {a}^{\textcolor{red}{m} \times \textcolor{g r e e n}{n}}$

$\therefore {2}^{1 \times - 1} {b}^{4 \times - 1}$

$\therefore {2}^{-} 1 {b}^{-} 4$

$\therefore \frac{1}{{2}^{1} {b}^{4}}$

$\therefore \frac{1}{2 {b}^{4}}$