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The expression \( 1^{\frac{1}{2}} \) simplifies beautifully to just \( 1 \). Why is that? Well, any non-zero number raised to any power remains the same! So whether you take it to the first, second, or fraction of a power, for the number 1, the result is always \( 1 \). If you're curious about similar expressions, consider exploring exponents further! For example, how does \( 0^0 \) or negative exponents work? Dive into the rules of exponents, and you’ll unlock a treasure of mathematical principles!