Question

simplify: x^3÷x^5 A.) x^2 B.)x^8 C.)x^-8 or D.)x^-2

Answer 1

$\bf ~~~~~~~~~~~~\textit{negative exponents}\\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\ -------------------------------\\\\ x^3\div x^5\implies \cfrac{x^3}{x^5}\implies \cfrac{x^3}{1}\cdot \cfrac{1}{x^5} \\\\\\ x^3x^{-5}\implies x^{3-5}\implies x^{-2}\implies \cfrac{1}{x^2}$

Answer 2

x^3 / x^5  = x^(3-5)  = x^-2  Answer