Evaluate (-6)^-1

Problem

(−6)(−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 (−6) to the denominator and changing the exponent from −1 to 1

(−6)(−1)=1/((−6)1)

3. Simplify the denominator, noting that any number raised to the power of 1 is the number itself.

1/((−6)1)=1/(−6)

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

1/(−6)=−1/6

Final Answer

(−6)(−1)=−1/6

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