Simplify -i^2

Problem

−i^2

Solution

1. Identify the base of the exponent. In the expression −i^2 the exponent 2 applies only to the imaginary unit i not to the negative sign.

2. Recall the definition of the imaginary unit i By definition, i^2=−1

3. Substitute the value of i^2 into the expression.

−(i^2)=−(−1)

4. Simplify the signs. The negative of a negative number is positive.

−(−1)=1

Final Answer

−i^2=1

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