Question

What is
6 k15
---------
36 k19

Answer 1

`~\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{6k^(15)}{36k^(19)}\implies \cfrac{6}{36}\cdot \cfrac{k^(15)}{k^(19)}\implies \cfrac{1}{6}\cdot \cfrac{1}{k^(19)\cdot k^(-15)}\implies \cfrac{1}{6}\cdot \cfrac{1}{k^(19-15)} \\\\\\ \cfrac{1}{6}\cdot \cfrac{1}{k^4}\implies \cfrac{1}{6k^4}`