\( 1 \leftarrow \quad \) Simplify the expression. Write the result using positive exponents.
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To simplify the expression \( 1 \), we can express it in terms of exponents. Remember that any non-zero number raised to the power of zero equals one. So, \( 1 \) can also be represented as \( x^0 \) for any \( x \neq 0 \). This keeps it interesting because now we can think about how \( 1 \) fits in with negative exponents—it essentially serves as the "neutral" exponent effect! Additionally, while working on similar expressions that involve fractions or negative exponents, a common mistake is to overlook the fact that a negative exponent indicates the reciprocal of the base. For instance, \( x^{-2} \) should be simplified to \( \frac{1}{x^2} \), illustrating how negatives flip things upside down! So always keep track of that when simplifying!