Evaluate (1/2)^-2

Problem

(1/2)(−2)

Solution

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

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

(1/2)(−2)=(2/1)2

3. Simplify the base inside the parentheses.

(2/1)2=2

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

2=4

Final Answer

(1/2)(−2)=4

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