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Question

Express 32000 as a product of powers of prime factors.


A

28×53

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B

28×54

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C

28×52

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D

27×54

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Solution

The correct option is A

28×53


32000 can be written as

32000=(2×2×2×2×2)×1000=25×103
(as 32=2×2×2×2×2)

= 25×(2×5)3
= 25×23×53
= 28×53


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