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Comparision of Quantities Using Exponents

Which is grea...

Question

Which is greatest $2^{12}$ or $3^{8}$

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Solution

We have the inequality, $a^{m} > b^{n}$ if $a > b, m < n$

We have $3 > 2, 8 < 12$

Hence $3^{8} > 2^{12}$

$∴ 3^{8}$ is the greatest.

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