Question

Find the quotient: $(-15x^8)÷\left(5x^5\right)$

Answer 1

Divide $-15x^8$ by $5x^5$ as follows:

$\frac{-15x^8}{5x^5}=-\frac{15}{5}(x^8\times x^{-5})=-3\left(x^{8-5}\right)=-3x^3(\because \frac{1}{a^2}=a^{-2},a^x\times a^y=a^{x+y})$

Hence, $\frac{-15x^8}{5x^5}=-3x^3$