Evaluate (-216)^(1/3)

Problem

(−216)(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,−216)

3. Factor the number inside the radical to find a value that, when multiplied by itself three times, equals −216

−216=(−6)×(−6)×(−6)

4. Simplify the expression by extracting the base of the cubed value.

√(3,(−6)3)=−6

Final Answer

(−216)(1/3)=−6

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