If $3^{n} = 729$ then $3^{3 a + 1}$ is

3^{21}

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3^{10}

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3^{19}

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None of these

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Solution

The correct option is A $3^{19}$
$3^{n} = 729$
$\Rightarrow 3^{n} = 3^{6}$
$\Rightarrow n = 6$

$∴ 3^{3 n + 1} = 3^{3 (6) + 1} = 3^{18 + 1} = 3^{19}$

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