Evaluate -4^(1/2)

Problem

−4(1/2)

Solution

1. Identify the order of operations. According to the rules of exponents, the exponentiation 4(1/2) must be performed before the negation.

2. Interpret the fractional exponent. An exponent of 1/2 is equivalent to taking the square root of the base.

4(1/2)=√(,4)

3. Calculate the square root. The square root of 4 is 2

√(,4)=2

4. Apply the negative sign to the result of the exponentiation.

−(2)=−2

Final Answer

−4(1/2)=−2

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