Mathematics: √mn = m1/2 n1/2 = simplify by using fractional exponents.

√mn = m1/2 n1/2 = simplify by using fractional

Apple557

18.01.2022

For this case we have the following expression:

$\sqrt {mn} = m ^ {\frac {1} {2}} n ^ {\frac {1} {2}}$

By power properties we have to:

(ab) ^ n = a ^ nb ^ n

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

We have then:

$m ^ {\frac {1} {2}} n ^ {\frac {1} {2}} = (mn) ^ {\frac {1} {2}}$

The simplified expression is given by:

$(mn) ^ {\frac {1} {2}}$

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mtammy884

20.10.2020

Step-by-step explanation:

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