Question

Rewrite the following radical expression in rational exponent form

Answer 1

`(√(x))^(5)`

Rewrite √ as the power of 1/2

⇒
`(x^{(1)/(2)})^(5)`

⇒
`x^{(5)/(2)}`

`\text {Answer: } x^{(5)/(2)}`

Answer 2

The roots can be written as exponents:

`\sqrt[x]{ {a}^(y) } = {a}^{ (y)/(x) } \\ \\ { \sqrt[x]{a} }^(y) = {a}^{ (y)/(x) }`
In this problem, we know that the root is a square root because there is no number on the left side of the root.

So we could write that as:

`{x}^{ (5)/(2) }`