Simplify and write the answer in the exponential form : $[(2^{2})^{3} \times 3^{6}] \times 5^{6}$

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Solution

Given $[(2^{2})^{3} \times 3^{6}] \times 5^{6}$
$= 2^{6} \times 3^{6} \times 5^{6}$
$= 3^{6} \times (2 \times 5)^{6}$ [Since, $a^{m} \times b^{m} = (a b)^{m}$ ]
$= 3^{6} \times 10^{6}$
$= (3 \times 10)^{6}$
$= 30^{6}$

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