The value of [4] [3] 2^2 is: - Vidyadip

MCQ

The value of $\sqrt[4]{\sqrt[3]{2^2}}$ is:

A
$2^{\frac{1}{6}}$
B
$2^6$
C
$2^{-6}$
D
$2^{\frac{-1}{6}}$

✓

Answer

$2^{\frac{1}{6}}$
Solution:
$\sqrt[4]{\sqrt[3]{2^2}}$
$=\sqrt[4]{\sqrt{2^{\frac{2}{3}}}}$
$=2^{\frac{2}{3\times4}}=2^{\frac{1}{6}}$

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