Question

identify the greater number whenever possible in each of the following: 100² or 2¹⁰⁰
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Answer 1

Answer:

The given exponent is 1002 and 2100.

Simplify the exponent 1002.

1002=100×100=10000

Now, simplify the exponent 2100.

210=2×2×2×2×2×2×2×2×2×2=32×32=1024

Further, simplify the above exponent.

2100=210×210×210×210×210×210×210×210×210×210=1024×1024×1024×1024×1024×1024×1024×1024×1024×1024

Thus, the exponent 2100 is greater than 1002.

Step-by-step explanation:

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