Question

Rewrite n sqrt x^m using a radical expression

Answer 1

The equivalent value of n * sqrt (x^m) can be written in exponent this would yield to n (x^m) ^ 1/ 2. This is raised to the power of one-half because its equivalence is a square root. A radical expression can be expressed thru radical and exponents.

Answer 2

The given expression
`\sqrt[n]{x^m}` acn be rewrite as
`(x)^{* (m)/(n)}`

Explanation:

Given :
`\sqrt[n]{x^m}`

We have to rewrite the given expression.

Consider the given expression
`\sqrt[n]{x^m}`

Using property of exponent
`\sqrt[n]{x} =x^{(1)/(n)}`

We have,

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

Again using property of exponents,
`(x^a)^b=x^(ab)`

We have ,

`(x^m)^{(1)/(n)}=(x)^{m* (1)/(n)}`

On simplifying, we get,

`(x)^{m* (1)/(n)}=(x)^{* (m)/(n)}`

Thus, the given expression
`\sqrt[n]{x^m}` acn be rewrite as
`(x)^{* (m)/(n)}`