Which one is greater $3^{5} o r 5^{3}$ :

$3^{5}$

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$5^{3}$

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equal

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Solution

The correct option is A
$3^{5}$

Comparing the values of $3^{5}$ and $5^{3}$
$3^{5} = 3 \times 3 \times 3 \times 3 \times 3 = 27 \times 9$
$27 \times 9 = 243$
$5^{3} = 5 \times 5 \times 5 = 125$
It is clear that $243 > 125$
$\Rightarrow 3^{5} > 5^{3}$
Hence, option (a) is correct.

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