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Loading ...How do you prove ‘a’ to the power of ‘zero’ is ‘one’?
This is an algebra question.
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A to the power of n is:
A * A * A … n times.
or
1 * A * A * A … n times.
since n is 0, w’re left with
1.
–
but really it’s defined to be 1.
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For the same reason that zero factorial is one – it’s defined to be one.
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If you are familar with logs or natural logs, three steps:
a^0 = 1
0*log(a) = log(1)
0 = 0
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a to the nth power divided by n is a to the n-1th power. a to the first power (which is a) divided by a is obviously 1, so a to power of zero must be one.
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