If $36 a^{4} = a^{6}$ , then $a^{3}$ is equal to ___________.

\frac{1}{6} a^{6}

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6 a^{4}

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\frac{1}{6} a^{2}

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6 a^{2}

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Solution

The correct option is D $6 a^{2}$
Given, $36 a^{4} = a^{6}$
$6 \times 6 a^{2} \times a^{2} = (a^{3})^{2}$
Taking square root on both sides, we get
$6 a^{2} = a^{3}$
Hence, option D is correct.

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