Question

Question 3X1127INXRewrite in simplest rational exponent form VxVx. Show each step of your process.

Answer 1

Given

`\sqrt[]{x}\cdot\sqrt[4]{x}`

So, we have that

`\begin{gathered} \sqrt[]{x}=x^{(1)/(2)} \\ \sqrt[4]{x}=x^{(1)/(4)} \end{gathered}`

Therefore, the expression given is

`x^{(1)/(2)}\cdot x^{(1)/(4)}`

Apply the laws of exponents

`x^{(1)/(2)+(1)/(4)}=x^{(3)/(4)}`

Answer:

`x^{(3)/(4)}`