Evaluate (-6)^-2

Problem

(−6)(−2)

Solution

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

2. Apply the rule to the expression by moving the base to the denominator and changing the sign of the exponent.

(−6)(−2)=1/((−6)2)

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

(−6)2=(−6)⋅(−6)

(−6)2=36

4. Substitute the result back into the fraction.

1/36

Final Answer

(−6)(−2)=1/36

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