Question

How would I do this?

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{28p^5-8p^4 + 40p^2}{4p^3}\implies \cfrac{28p^5}{4p^3}-\cfrac{8p^4 }{4p^3}+\cfrac{ 40p^2}{4p^3}\implies 7p^5 p^(-3)-2p^4 p^(-3)+10p^2p^(-3) \\\\\\ 7p^(5-3)-2p^(4-3)+10p^(2-3)\implies 7p^2-2p+10p^(-1)\implies 7p^2-2p+\cfrac{10}{p}`