Which one is greater in each of the following?
(ii) $5^{3}$ or $3^{5}$

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Solution

STEP 1 : Finding the value of the exponents
$5^{3} = 5 \times 5 \times 5 = 125$
$3^{5} = 3 \times 3 \times 3 \times 3 \times 3 = 243$
STEP 2 : Comparing the values of the exponents
It is clear from above that,
$243 > 125$
$3^{5} > 5^{3}$
Hence, $3^{5}$ is greater than $5^{3}$ .

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