# How do you simplify a^-4 * (a^4b^3)^3?

May 19, 2018

This is a law of exponents
${\left({a}^{m}\right)}^{n} = {a}^{m n}$
${a}^{- m} = \frac{1}{a} ^ m$

$\frac{1}{a} ^ 4 \times {a}^{12} \times {b}^{9}$

Cut it out

${a}^{8} \times {b}^{9}$
${a}^{8} {b}^{9}$