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Question

Write the following in scientific notation: (200)3

A
4×104
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B
8×106
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C
6×106
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D
8×108
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Solution

The correct option is B (8×106)

Given (200)3=(2×100)3
Using the rule of (a×b)m=am×bm
(200)3=(2)3×(100)3
=23×(102)3 [Since, 100=102]
=23×102×3 [Since, (am)n=a(m×n)]
=8×106
(200)3=8×106


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