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

Answer:

The given expression  $\sqrt[n]{x^m}$ acn be rewrite as $(x)^{\times \frac{m}{n}}$

Step-by-step 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  $\sqrt[n]{x} =x^{\frac{1}{n}}$

We have,

$\sqrt[n]{x^m}=(x^m)^{\frac{1}{n}}$

Again using property of exponents,$(x^a)^b=x^{ab}$

We have ,

$(x^m)^{\frac{1}{n}}=(x)^{m\times \frac{1}{n}}$

On simplifying, we get,

$(x)^{m\times \frac{1}{n}}=(x)^{\times \frac{m}{n}}$

Thus, the given expression  $\sqrt[n]{x^m}$ acn be rewrite as $(x)^{\times \frac{m}{n}}$