Question

Find the quotient:
$\frac{x^8}{x^3}$

Answer 1

Divide $x^8$ by $x^3$ as follows:

$\frac{x^8}{x^3}=x^8\times x^{-3}=x^{8-3}=x^5(\because \frac{1}{a^2}=a^{-2},a^x\times a^y=a^{x+y})$

Hence, $\frac{x^8}{x^3}=x^5$