Evaluate (1/3)^-1

Problem

(1/3)^(−1)

Solution

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

2. Apply the rule for a fraction raised to a negative power, which is (a/b)^(−n)=(b/a)^n

3. Substitute the values into the formula to get (1/3)^(−1)=(3/1)^1

4. Simplify the resulting expression.

Final Answer

(1/3)^(−1)=3

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