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Evaluate (-3)^-1

Problem

(−3)(−1)

Solution

  1. Identify the negative exponent rule, which states that for any non-zero base a a(−n)=1/(an)

  2. Apply the rule to the expression by moving the base (−3) to the denominator and changing the exponent from −1 to 1

  3. Simplify the denominator by evaluating (−3)1 which is simply −3

  4. Rewrite the fraction by placing the negative sign in front of the fraction for standard form.

Final Answer

(−3)(−1)=−1/3


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