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4^2 = 16

4^3 = 64

16^5 = 16 x 16 x 16 x 16 x 16 = 256 x 256 x 16 = 1048576

You cannot add the powers in addition operation, but can in multiplication operation.

Thus 4^2 x 4^3 = 4^5 = 1024

When a number is written to a power, it is multiplying by itself the power number of times. Thus:

4^2 = 4 x 4

4^3 = 4 x 4 x 4

and:

4^2 x 4^3 = (4 x 4) x (4 x 4 x 4) = 4 x 4 x 4 x 4 x 4 = 4^5 = 4^(2+3)

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Q: Why does 4 to the second power and 4 to the third power does not equal 16 to the fifth power?
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