Simplify and express each of the following in exponential form :
(iv) $8^{2} \div 2^{3}$

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Solution

Simplifying and expressing in exponential form :
$8^{2} \div 2^{3} = {(2^{3})}^{2} \div 2^{3}$
$8^{2} \div 2^{3} = 2^{3 \times 2} \div 2^{3}$
$8^{2} \div 2^{3} = 2^{6} \div 2^{3}$
$8^{2} \div 2^{3} = 2^{6 - 3}$
$8^{2} \div 2^{3} = 2^{3}$
Hence, the simplified exponential form of $8^{2} \div 2^{3}$ is $2^{3}$ .

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