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Maths-

SAT

Easy

Question

$2 to the power of 2 divided by n end exponent left parenthesis n-th root of 3 right parenthesis$
If n is a positive integer, which of the following is the equivalent to the expression above?

$3^{\frac{1}{n}}$
$18^{\frac{1}{n}}$
$\sqrt[n]{6}$
$\sqrt[n]{12}$

The correct answer is: $n-th root of 12$

$2 to the power of 2 divided by n end exponent left parenthesis n-th root of 3 right parenthesis equals open parentheses n-th root of 2 squared end root close parentheses left parenthesis n-th root of 3 right parenthesis$
$equals left parenthesis n-th root of 4 right parenthesis left parenthesis n-th root of 3 right parenthesis equals n-th root of 4 cross times 3 end root equals n-th root of 12$ .

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