Evaluate (-27)^(1/3)

Problem

(−27)(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,−27)

3. Factor the number inside the radical to find a value that, when multiplied by itself three times, equals −27

−27=(−3)⋅(−3)⋅(−3)

4. Simplify the expression by extracting the base of the cube.

√(3,(−3)3)=−3

Final Answer

(−27)(1/3)=−3

Want more problems? Check here!