What is the value of the expression 1^n?

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The expression (1^n) represents 1 raised to the power of (n), where (n) can be any real number. No matter what the value of (n) is, as long as (n) is a finite number, the result will always be 1. This is due to the property of exponents which states that any non-zero number raised to the power of zero is 1, and additionally, any number raised to any power will yield a consistent outcome when that number is 1.

Therefore, (1^n) results in 1 because multiplying 1 by itself (n) times still results in 1. This property applies regardless of whether (n) is a positive integer, a negative number, or zero. It’s a fundamental rule in mathematics that makes evaluating powers of 1 straightforward and consistent. Hence, the correct answer is indeed 1.

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