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Question

Simplify and express in exponential form: 35×105×12557×65 is :


A

54

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B

55

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C

25

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D

56

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Solution

The correct option is B

55


35 × 105 × 12557 × 65

= 35 × (2×5)5 × 12557 × (2×3)5
(ab)m = am×bm

= 35 × (25 × 55) × 5357 × (25 × 35)

= 35 × 25 × 5257 × 25 × 35 (am × an = am+n)

= 55


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