Evaluate (1/2)^-1

Problem

(1/2)^(−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 involves taking the reciprocal of the base and changing the sign of the exponent: (a/b)^(−n)=(b/a)^n

3. Substitute the values into the formula to get (2/1)^1

4. Simplify the resulting expression by dividing 2 by 1 and applying the exponent of 1.

Final Answer

(1/2)^(−1)=2

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