Question

Find the quotient: $\frac{8p^{14}}{p^8}$

Answer 1

Divide $8p^{1}4$ by $p^8$ as follows:

$\frac{8p^{14}}{p^8}=8p^{14}\times p^{-8}=8\left(p^{14-8}\right)=8p^6(\because \frac{1}{a^2}=a^{-2},a^x\times a^y=a^{x+y})$

Hence, $\frac{8p^{14}}{p^8}=8p^6$