Which is greater:
(i) $2^{3}$ or $3^{2}$
(ii) $2^{5}$ or $5^{2}$

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Solution

(i) $2^{3}$ or $3^{2}$
it can be wirtten as
$2^{3} = 2 \times 2 \times 2 = 8$
$3^{2} = 3 \times 3 = 9$
Hence, $9$ is greater than $8$ i.e., $3^{2} > 2^{3}$

(ii) $2^{5}$ or $5^{2}$
It can be written as
$2^{5} = 2 \times 2 \times 2 \times 2 \times 2 = 32$
$5^{2} = 5 \times 5 = 25$
hence, $32$ is greater than $25$ i.e., $2^{5} > 5^{2}$

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