The equivalent expression is:
[tex](m^5)^{1/2} = \sqrt{m^5}[/tex]
Which is the one in option A.
How to identify the equivalent expression?
Here we start with the expression:
[tex]m^{5/2}[/tex]
Now, remember that:
[tex]\sqrt{x} = x^{1/2}[/tex]
[tex](x^a)^b = x^{a*b}[/tex]
if we define a = 5 and b = 1/2, we get:
[tex]m^{5/2} = (m^5)^{1/2}[/tex]
Using the first property, we get:
[tex](m^5)^{1/2} = \sqrt{m^5}[/tex]
Then we conclude that the correct option is A.
If you want to learn more about equivalent expressions:
https://brainly.com/question/2972832
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