# Issue

*This Content is from Stack Overflow. Question asked by Al-Baraa El-Hag *

The equation in question is: `(-8) ** (-1/3)`

. Putting that into Python you get the following answer:

```
In [1]: (-8) ** (-1/3)
Out[1]: (0.25000000000000006-0.4330127018922193j)
```

Which is incorrect, the answer should be -0.5. But if I take out the negative, it works fine.

```
In [2]: (8) ** (-1/3) * -1
Out[2]: -0.5
```

What’s going on? I tested this on two other calculators (Google’s search calculator and a scientific calculator on Android, CalcES) and I got the same mistake that Python is making when the input is (-8) ** (-1/3).

# Solution

Floating powers of a negative number will give you a complex number.

```
(-8)**(-1/3)
(0.25000000000000006-0.4330127018922193j)
```

Even if you remove the negative sign from the power you will get a complex number:

```
(-8)**(1/3)
(1.0000000000000002+1.7320508075688772j)
```

If I just do 1.1, then too it will be a complex number

```
(-8)** (1.1)
(-9.367103334496456-3.043556370026835j)
```

It does not matter if you take 8 or any other number, if the number is a negative number power raised to some floating number other than an integer, it will always yield a complex number.

Please seethe below links:

https://math.stackexchange.com/questions/952663/negative-number-raised-to-fractional-power

This Question was asked in StackOverflow by Al-Baraa El-Hag and Answered by Talha Tayyab It is licensed under the terms of CC BY-SA 2.5. - CC BY-SA 3.0. - CC BY-SA 4.0.