Question

Rewrite 1/x^-3/6 in simplest radical form. show each step of your process

Answer 1

`\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\ a^{-{ n}} \implies \cfrac{1}{a^( n)} \qquad \qquad \cfrac{1}{a^( n)}\implies a^{-{ n}} \qquad \qquad a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\\\ \textit{also recall that }a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^( n)}\\\\ -------------------------------`


`\bf \cfrac{1}{x^{-(3)/(6)}}\implies \cfrac{1}{\frac{1}{x^{(3)/(6)}}}\implies \cfrac{(1)/(1)}{\frac{1}{x^{(3)/(6)}}}\implies \cfrac{1}{1}\cdot \cfrac{x^{(3)/(6)}}{1}\implies x^{(3)/(6)}\implies x^{(1)/(2)}\implies \sqrt[2]{x^1} \\\\\\ √(x)`