Question

Rewrite in simplest radical form 1 over x^(−3/6). Show each step of your process.

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) \\\\\\ ~\hspace{7em}\textit{rational exponents} \\\\ a^{( n)/( m)} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-( n)/( m)} \implies \cfrac{1}{a^{( n)/( m)}} \implies \cfrac{1}{\sqrt[ m]{a^ n}}`

`\bf \rule{34em}{0.25pt}\\\\ \cfrac{1}{x^{-(3)/(6)}}\implies x^{(3)/(6)}\implies x^{(1)/(2)}\implies \sqrt[2]{x^1}\implies √(x)`