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Question

Simplify:
(i) 3 × 102
(ii) 22 × 53
(ii) 33 × 52

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Solution

We have
(i) 3 × 102 = 3 × 100 = 300 [since 102 = 10 × 10 = 100]
(ii) 22 × 53 = 4 × 125 = 500 [since 22 = 2 × 2 = 4 and 53 = 5 × 5 × 5 = 125]
(iii) 33 × 52 = 27 × 25 = 675 [ since 33 = 3 × 3 × 3 = 27 and 52 = 5 × 5 = 25]

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