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True or False: 1 raised to any real number $n$ is 1.

Assume that possible values for n do not include $n$ =∞.

False Impossible to know for sure True

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Maddie Anderson
Apr 13, 2015

$1$ raised to any power, excluding ∞, is 1 because ${ 1 }^{ 2 }=1*1=1$ , ${ 1 }^{ 4 }=1*1*1*1=1$ and so on. Even ${ 1 }^{ 0 }$ , ${ 1 }^{ 0.1 }$ , and ${ 1 }^{ -2 }$ equal one!

Therefore, the answer is True. If we included the possibility that 1 could equal ∞, it would be 'impossible to know for sure', or undefined.

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