Evaluate (-81)^(1/2)

Problem

(−81)(1/2)

Solution

1. Identify the operation as finding the square root of a negative number, which involves the imaginary unit i

2. Apply the property of square roots for negative numbers, where √(,−a)=√(,−1)⋅√(,a)

3. Substitute i for √(,−1) and calculate the square root of the positive constant.

4. Simplify the expression by evaluating √(,81)=9

Final Answer

(−81)(1/2)=9*i

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