Identify the greater number, wherever possible, in the following?
$5^{3}$ or $3^{5}$ .

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Solution

$5^{3} o r 3^{5} \Rightarrow 5^{3} = 5 \times 5 \times 5 = 125 \Rightarrow 3^{5} = 3 \times 3 \times 3 \times 3 \times 3 = 243 ∴ 3^{5} > 5^{3}$

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