Find the value of $a$ , if $a^{b} = 4$ and $3 b = 2$ .

8

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6

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10

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4

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Solution

The correct option is C $8$
Given, $a^{b} = 4, 3 b = 2$

$∴ b = \frac{2}{3}$

$\Rightarrow a^{\frac{2}{3}} = 4$

$\Rightarrow a = 4^{\frac{3}{2}}$

$∴ a = 2^{2 \times \frac{3}{2}} = 2^{3} = 8$

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