Question

Rewrite in simplest radical form 1/x^3/6.
Can anyone solve this.

Answer 1

`\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^( n)} \qquad \qquad \sqrt[{ m}]{a^( n)}\implies a^{\frac{{ n}}{{ m}}}\\\\ -------------------------------\\\\ \cfrac{1}{x^{(3)/(6)}}\implies \cfrac{1}{x^{(1)/(2)}}\implies \cfrac{1}{√(x)}\impliedby \textit{now, rationalizing the denominator} \\\\\\ \cfrac{1}{√(x)}\cdot \cfrac{√(x)}{√(x)}\implies \cfrac{√(x)}{x}`