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In order to understand why everything to the zeroth power equal one, let's do some examples.

8^0

= 8^(1-1)

= (8^1)(8^-1)

= (8)(1/8)

= 8/8

= 1

2^0

= 2^(2-2)

= (2^2)(2^-2)

= (4)(1/2^2)

= (4)(1/4)

= 4/4

= 1

(x + 1)^0

= (x + 1)^(1-1)

= [(x + 1)^1][(x + 1)^-1]

= (x+ 1)[1/(x + 1)]

= (x + 1)/(x + 1)

= 1

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Q: Why does everything to the zeroth power equal one?
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