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Exponents with Like Bases

i Using laws ...

Question

Using laws of exponents, simplify and write the answer in exponential form:
$3^{2} \times 3^{4} \times 3^{8}$

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Solution

We have
$3^{2} \times 3^{4} \times 3^{8}$

= $3^{(2 + 4 + 8)}$ $[∵ a^{m} \times a^{n} = a^{m + n}]$
= $3^{14}$

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3^{2} \times 3^{4} \times 3^{8}

\frac{6^{15}}{6^{10}}

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2^{5} \times 5^{5}

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(i i) 8^{4} \div 8^{2}

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2^{5} \times 5^{5}

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