Question

Rewrite the radical expression as an expression with a rational exponent.


pls help

Answer 1

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Answer 2

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

Explanation:

In order to solve this question we need to understand the following.

`√(x)` =
`x^{(1)/(2) }`

`\sqrt[3]{x} = x^{(1)/(3) }`

`\sqrt[4]{x}= x^{(1)/(4) }`

(Notice that the numerator of the fraction is the power of the x that is being squared)

If you need proof here it is.....

`√(x) = x^{(1)/(2) }`

`(√(x) )^(2)` =
`(x^{(1)/(2) } )^(2)`

x = x

Now that we got that out of the way we can rewrite
`\sqrt[7]{x^(3) }` as........

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