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Identify the greater number, wherever possible, in each of the following? 100^2 or 2^100

Identify the greater number, wherever possible, in each of the following?
100^2 or 2^100

Grade:12

1 Answers

Anand Kumar Pandey
askIITians Faculty 5778 Points
3 months ago
Dear Student

The expansion of 100^2= 100 × 100 = 10000
The expansion of 2^100
2^10= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 1024
Then,
2^100= 1024 × 1024 ×1024 × 1024 ×1024 × 1024 × 1024 × 1024 × 1024 × 1024 =
Clearly,
100^2< 2^100
Hence 2^100is the greater number.

Thanks

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