Evaluate (-8)^-2

Problem

(−8)(−2)

Solution

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

1/((−8)2)

2. Evaluate the power in the denominator by multiplying the base by itself.

(−8)×(−8)=64

3. Simplify the fraction by substituting the calculated value back into the expression.

1/64

Final Answer

(−8)(−2)=1/64

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