Evaluate 125^(1/3)

Problem

125(1/3)

Solution

1. Identify the operation as finding the cube root of the number, since an exponent of 1/3 is equivalent to √(3,x)

2. Rewrite the expression using radical notation.

√(3,125)

3. Factor the number 125 into its prime factors to find a perfect cube.

125=5⋅5⋅5

4. Simplify the cube root by identifying the base that, when multiplied by itself three times, equals 125

5=125

5. Evaluate the final result.

√(3,5)=5

Final Answer

125(1/3)=5

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