Question

How to simplify 
`(1)/(x^5)*x^34`?

Answer 1

`\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] \rule{34em}{0.25pt}\\\\ \cfrac{x^(34)}{x^5}\implies x^(34)\cdot x^(-5)\implies x^(34-5)\implies x^(29)`

Answer 2

Hi,

Work:


`\frac{1}{ {x}^(5) } * {x}^(34)`

Reduce the expression with x5.


`\frac{1}{ {x}^(29) }`

Hope this helps.
r3t40