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The answer is not 1. While it may seem like 1 raised to anything equals 1 (because 1x1=1, and 1x1x1=1, ad infinitum), this is actually not the case. The answer is that 1 raised to infinity is indeterminate. When dealing with infinity, you are talking about a non-finite number, so that essentially throws all rules about algebra out the window.
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Infinity to the power of 1?
Anything to the power of 1 is that same something, so infinity to the power of 1 is infinity. Keep in mind that infinity is a conceptual thing, often expressed as a limit as something approaches a boundary condition of the domain of a function. Without thinking of limits, infinity squared is still infinity, so the normal rules of math would seem to not apply.
Is -1 raised to the power of 100 negative or positive?
The answer is negative (-1 raised to the power of 100 = -1)
What is 500000000 raised to the zero power?
Any number raised to the power of zero is just 1.
What is 2 power to infinity?
The expression 2 raised to the power of infinity is undefined in standard mathematics. As the exponent approaches infinity, the value of 2^infinity grows infinitely large. However, infinity is not a specific number but rather a concept representing unboundedness, so the result cannot be determined. In some contexts, it may be interpreted as approaching infinity, but it is not a valid mathematical operation.
What is e to the power infinity?
E to the power infinity, or lim en as n approaches infinity is infinity.
