Respuesta :

carlosego

For this case we have the following expression:

[tex]\sqrt {mn} = m ^ {\frac {1} {2}} n ^ {\frac {1} {2}}[/tex]

By power properties we have to:

[tex](ab) ^ n = a ^ nb ^ n[/tex]

Therefore, using the power properties we can simplify the given expression.

We have then:

[tex]m ^ {\frac {1} {2}} n ^ {\frac {1} {2}} = (mn) ^ {\frac {1} {2}}[/tex]

Answer:

The simplified expression is given by:

[tex](mn) ^ {\frac {1} {2}}[/tex]

abidemiokin

From the question, both based carry the same power, this can be further expressed as [tex](mn)^{1/2}[/tex]

Exponential law of indices

According to the exponential law of indices

[tex](a^m)^n = a^{mn}\\a^{1/2}=\sqrt{a}[/tex]

Given the indices expression

√mn

This can also be expressed as:

[tex]\sqrt{mn}=m^{1/2}n^{1/2}[/tex]

Since both based carry the same power, this can be further expressed as [tex](mn)^{1/2}[/tex]

Learn more on indices here: https://brainly.com/question/10339517

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