Evaluate (-2)^-3

Problem

(−2)(−3)

Solution

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

1/((−2)3)

2. Evaluate the power in the denominator by multiplying the base by itself three times: (−2)×(−2)×(−2)

(−2)3=−8

3. Simplify the fraction by placing the negative sign in front of the fraction or in the numerator.

1/(−8)=−1/8

Final Answer

(−2)(−3)=−1/8

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