$2^{3} + 2^{3} + 2^{3} + 2^{3}$ is equal to __________.

2^{5}

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2^{12}

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2^{81}

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2^{16}

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Solution

The correct option is A $2^{5}$
We need to find value of $2^{3} + 2^{3} + 2^{3} + 2^{3}$ which is further equal to
$= {4.2}^{3}$
$= 2^{2} {.2}^{3}$
$= 2^{2 + 3}$ ....Since $a^{m} \times a^{n} = a^{m + n}$
$= 2^{5}$

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