βmn = m1/2 n1/2 =Simplify by using fractional exponents.
Accepted Solution
A:
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]