Question

X^16/x^3

a. 16/x^3
b. x^48
c. x^19
d. x^13​

Answer 1

x^13

Explanation:

when you divide variables with exponents you subtract them. So x^16-3 = x^13

Answer 2

`\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^(-n) \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^(-n)} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^(-m)\implies a^(n-m) \\\\[-0.35em] ~\dotfill\\\\ \cfrac{x^(16)}{x^3}\implies \cfrac{x^(16)}{1}\cdot \cfrac{1}{x^3}\implies x^(16)\cdot x^(-3)\implies x^(16-3)\implies x^(13)`