If $3^{n} = n^{6}$ , find the value of $n^{18}$

3^{n} n^{3}

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3^{n} n^{12}

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9^{n}

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3^{12 n}

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Solution

The correct option is B $3^{n} n^{12}$
Given, $3^{n} = n^{6}$
We need to find the value of $n^{18}$
$∴ n^{18} = n^{6} . n^{12} = 3^{n} . n^{12}$
$∴ n^{6 + 12} = 3^{n} . n^{12}$
$∴ n^{18} = 3^{n} n^{12}$

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