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Why are the results different? What’s going on?

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enter image description here
The cube of -1 is equal to -1.

(-1)3
= (-1)(-1)(-1)
= -1

If you type cube root of -1 into WolframAlpha, you get

cuberoot(-1) = -1

But what happens if you try a fractional exponent of 1/3? You should get the same result, but instead you get a totally different result of a complex number!

(-1)1/3 = 1/2 + (i√3)/2

Why are the results different? What’s going on?

posted Aug 10, 2023 by Anuradha Tabyal

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