Rewrite the following radical expression in rational exponent form. ( √(x)) ^5 ​

Question

Rewrite the following radical expression in rational exponent form.


`( √(x)) ^5`
​

Answer 1

The Answer Is...

x^5/2

`x^ (5)/(2)`

Answer 2

Explanation:

note that the square root of any number can be expressed as the number raised to a
`(1)/(2)` power

i.e √a =
`a^{(1)/(2) }`

Applying this to our expression

`(√(x) )^(5)`

=
`x^{(1)/(2) * 5 }`

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