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For this case we must rewrite the expression given by:
[tex]\sqrt [n] {x ^ m}[/tex]
By definition of power and root properties we have to:
[tex]\sqrt {a} = a ^ {\frac {1} {2}}[/tex]
Then, the given expression can be rewritten as:
[tex]\sqrt [n] {x ^ m} = x ^ {\frac {m} {n}}[/tex]
Answer:
[tex]\sqrt [n] {x ^ m} = x ^ {\frac {m} {n}}[/tex]