Evaluate (1/3)^-2

Problem

(1/3)(−2)

Solution

1. Identify the negative exponent rule, which states that a(−n)=1/(an) or (a/b)(−n)=(b/a)n

2. Apply the rule by taking the reciprocal of the base and changing the sign of the exponent.

(1/3)(−2)=(3/1)2

3. Simplify the fraction inside the parentheses.

(3/1)2=3

4. Evaluate the power by multiplying the base by itself.

3=9

Final Answer

(1/3)(−2)=9

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