Question

Evaluate the left hand side to find the value of aa in the equation in simplest form. 4

Answer 1

Given

$\frac{x^{\frac{1}{2}}}{x^{\frac{1}{6}}}$

Solution

Apply exponent rule

$\begin{gathered} x^{\frac{1}{2}-\frac{1}{6}}=x^{\frac{3-1}{6}} \\ \\ \\ x^{\frac{2}{6}}=x^{\frac{1}{3}} \end{gathered}$$a=\frac{1}{3}$

We have

$\frac{x^{\frac{1}{2}}}{x^{\frac{1}{6}}}=x^{\frac{1}{3}}$