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The power is indicative of how many times you should multiply a number repeatedly to achieve your result. Its easy to look at it in expanded form below with the key concept being that anything ^0 is equal to 1 as 1 is the starting point of the expanded multiplication. It must be this was as if it was 0 then anything to the power of anything would become 0. The "1" represents placing "1" 4 on the multiplication train just as a 2 would place 2 4's on it.

4^0 = 1

4^1 = 1*4 =4

4^2 = 1*4*4 = 16

4^3 = 1*4*4*4 = 64

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13y ago

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