Question

Simplify and express the result in power notation with positive exponent.
$(-4{)}^5÷(-4{)}^8$

Answer 1

$\frac{(-4^5)}{(-4{)}^8}=(-4{)}^{5-8}=(-4{)}^{-3}$ ($\because \frac{a^m}{a^n}=a^{m-n}$)

$\left(\right(-4{)}^{-1}{)}^3={\left(\frac{-1}{4}\right)}^3$ ( $\because a^{-n}=\frac{1}{a^n}$)