Question

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

Answer 1

Given

`\frac{x^{(1)/(2)}}{x^{(1)/(6)}}`

Solution

Apply exponent rule

`\begin{gathered} x^{(1)/(2)-(1)/(6)}=x^{(3-1)/(6)} \\ \\ \\ x^{(2)/(6)}=x^{(1)/(3)} \end{gathered}`
`a=(1)/(3)`

We have

`\frac{x^{(1)/(2)}}{x^{(1)/(6)}}=x^{(1)/(3)}`