Question

Simplify by using fractional exponents. {mn}" alt=" \sqrt{mn}" align="absmiddle" class="latex-formula">

Answer 1

The square root sign just means raising the variables inside to $\frac{1}{2}$. Therefore, to simplify using fractional exponents, the expression will just be $(mn)^{ \frac{1}{2}}$ or $m^{ \frac{1}{2}}*n^{ \frac{1}{2}}$.

Answer 2

Answer:
√mn = m^1/2 * n^1/2

Explanation:
1- square root means that the number is raised to the power 1/2.
Therefore:
√mn = (mn)^1/2
2- When we have a bracket containing two numbers multiplied by each other, and the whole bracket is raised to a certain power, then each number within the bracket would be raised to this same power.
This means that:
(mn)^1/2 = m^1/2 * n^1/2

Hope this helps :)