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49, 400, 4096 as a power

How to write 49 as a power? How to write 400 as a power? How to write 4096 as a power?

See the following examples.


Write 49 as a power

Problem: Write 49 as a power of 2

Solution:

49 = 7 * 7 = 72

Write 400 as a power

Problem: Write 400 as a power of 2

Solution:

400 = 4 * 100 =
(2 * 2) * (10 * 10) =
22 * 102 =
(2 * 10)2 = 202

Write 4096 as a power

Problem: Write 4096 as a power of 12

Solution:

4096 = 4 * 1024 =
4 * 4 * 256 =
4 * 4 * 4 * 64 =
4 * 4 * 4 * 8 * 8 =
22 * 22 * 22 * 23 * 23 =
=22 + 2 + 2 + 3 + 3 =
212