Express $[(8^{3})^{3}]^{2}$ in exponential form.

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Solution

${[{(8^{3})}^{3}]}^{2}$
We know that $8 = 2^{3}$ and using ${(a^{m})}^{n} = a^{m n}$
${[{(8^{3})}^{3}]}^{2}$
$= {[{({(2^{3})}^{3})}^{3}]}^{2}$
$= 2^{3 \times 3 \times 3 \times 2} = 2^{54}$

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