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Question
Arrange in ascending order:
25, 33, 23 × 2, (33)2, 35, 40, 23 × 31
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Solution
In ascending order, the numbers are arranged from smallest to largest.
We have, 25 = 2 × 2 × 2 × 2 × 2 = 32
33 = 3 × 3 × 3 = 27
23 × 2 = 2 × 2 × 2 × 2 = 16
(33)2 = 33 × 2 ...[∴ (am)n = amn]
36 = 3 × 3 × 3 × 3 × 3 × 3 = 729
35 = 3 × 3 × 3 × 3 × 3 = 243
4° = 1 ...[∴ a0 = 1]
And 23 × 31 = 2 × 2 × 2 × 3 = 24
Thus, the required ascending order will be 4° < 23 × 2 < 23 × 31 < 33 < 25 < 35 < (33)2.
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