Question

Rewrite n sqrt x^m using rational expression.

Answer 1

We are given expression
`\sqrt[n]{x^m}`.

We need to convert it in rational exponent expression.

We know the rule for rational exponent expression as following:

`\sqrt[b]{a^c} = a^{(c)/(b)}`.

If we compare given radical expression, x is a and it's nth radical.

Therefore, b = n and exponent of x is m. Therefore, m = c.

Therefore,
`\sqrt[n]{x^m}` can be written as
`x^{(m)/(n)}`.