Mathematics

Which is larger ?

(i) 23 or 32

(ii) 25 or 52

(iii) 37 or 73.

Exponents

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Answer

(i) 23 or 32

23 = 2 x 2 x 2 = 8

32 = 3 x 3 = 9

Clearly, 8 < 9.

Hence, 32 is larger.

(ii) 25 or 52

25 = 2 x 2 x 2 x 2 x 2 = 32

52 = 5 x 5 = 25

Clearly, 32 > 25.

Hence, 25 is larger.

(iii) 37 or 73.

37 = 3 x 3 x 3 x 3 x 3 x 3 x 3 = 2187

73 = 7 x 7 x 7 = 343

Clearly, 2187 > 343.

Hence, 37 is larger.

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