Question

Which is equivalent to xé?A. x.isB. X. (X)C.D. 3x. V713VXVX

Answer 1

Given:

`x^{(7)/(3)}`

To get the equivalent using the law of indices that state that

`a^{(m)/(n)}=(\sqrt[n]{a})^m`

Then, it follows that

`x^{(7)/(3)}=\text{ (}\sqrt[3]{x})^7`

From the option provided

`\begin{gathered} x\text{.}\sqrt[3]{x^2}=xx^{(2)/(3)} \\ =x^{(1+(2)/(3))}=x^{((3)/(3)+(2)/(3))}=x^{(5)/(3)} \\ \text{since x}^{(5)/(3)}\\e x^{(7)/(3)} \end{gathered}`

Option A is wrong

Let us try option B

`\begin{gathered} x^2\text{.(}\sqrt[3]{x})=x^2* x^{(1)/(3)}=x^{(2+(1)/(3))} \\ =x^{((6)/(3)+(1)/(3))}=x^{((6+1)/(3))^{}} \\ =x^{(7)/(3)} \\ \end{gathered}`

Option B is the correct answer