Evaluate (-1)^(1/3)

Problem

(−1)(1/3)

Solution

1. Identify the expression as the cube root of a negative number.

2. Apply the definition of a cube root, which seeks a number x such that x3=−1

3. Determine the real value that satisfies the equation (−1)×(−1)×(−1)=−1

4. Conclude that the principal real cube root of −1 is −1

Final Answer

(−1)(1/3)=−1

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