Evaluate (-3)^-2

Problem

(−3)(−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.

(−3)(−2)=1/((−3)2)

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

(−3)2=(−3)⋅(−3)=9

4. Simplify the fraction by substituting the result of the power back into the expression.

1/9

Final Answer

(−3)(−2)=1/9

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