(1 3 )^2 ^4 is equal to: - Vidyadip

MCQ

$\bigg\{\Big(\frac{1}{3}\Big)^2\bigg\}^4$ is equal to:

A
$\Big(\frac{1}{3}\Big)^6$
✓
$\Big(\frac{1}{3}\Big )^8$
C
$\Big(\frac{1}{3}\Big)^{24}$
D
$\Big(\frac{1}{3}\Big)^{16}$

✓

Answer

Correct option: B.

$\Big(\frac{1}{3}\Big )^8$

We have:
$\bigg(\Big(\frac{1}{3}\Big)^2\bigg)^4=\Big (\frac{1}{3}\Big)^{2\times4}$
$=\Big(\frac{1}{3}\Big)^8$

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