Question

What is the quotient of -8x^6/4x^-3?

Answer 1

$\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\ -------------------------------\\\\ \cfrac{-8x^6}{4x^{-3}}\implies \cfrac{-8}{4}\cdot \cfrac{x^6}{x^{-3}}\implies -2\cdot x^6\cdot x^{+3}\implies -2x^{6+3}\implies -2x^9$