Respuesta :

Answer: I think B is the correct answer, I am not 100% postive though. I am about 98%.

Step-by-step explanation:

For this case we have that, by definition of properties of powers and roots, it is fulfilled that:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

Now, from option B we have:

[tex](\sqrt [m] {x ^ a}) ^ b = (x ^ {\frac {a} {m}) ^ b[/tex]

By definition of power properties we have:

[tex](a ^ n) ^ m = a ^ {n * m}[/tex]

So:

[tex](x ^ {\frac {a} {m}) ^ b =[/tex]

[tex]x ^ {\frac {ab} {m}} =[/tex]

[tex]\sqrt [m] {x ^ {ab}}[/tex]

Thus, it is observed that equality was demonstrated.

THE correct option is B.

ANswer:

Option B

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