Evaluate (-64)^(1/3)

Problem

(−64)(1/3)

Solution

1. Identify the operation as finding the cube root of a negative number.

2. Rewrite the expression using radical notation to visualize the cube root.

√(3,−64)

3. Determine the number that, when multiplied by itself three times, equals −64

(−4)×(−4)×(−4)=−64

4. Evaluate the cube root based on the identified base.

√(3,−64)=−4

Final Answer

(−64)(1/3)=−4

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