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/ 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