Question

Rewrite in simplest radical form! Show your work.

Answer 1

Answer: $\frac{1}{\sqrt[3]{x} }$

Step-by-step explanation:

Since the base of the exponents are the same, we can go ahead and subtract the exponents.

$\frac{x^{\frac{5}{6}} }{x^{\frac{7}{6} }}$               [subtract exponents]

$x^{-\frac{2}{6} }$             [simplify exponent]

$x^{-\frac{1}{3}}$             [write in radical form]

$\frac{1}{\sqrt[3]{x} }$