# Question #586a5

##### 2 Answers

Your question doesn’t seem logical.

#### Explanation:

Neither

The square root of a negative number is always an imaginary number. The examples can be simplified to have the lowest value radicand, but this will still be an imaginary number.

From examples:

These can also be expressed as

These are known as pure imaginary numbers.

Because a negative number raised to an odd power gives a negative result.

#### Explanation:

But for even powers, both positives and negatives raised to an even power give a positive result.

And any other number raised to the power

So no number can be raised to the power

(Until we introduce a new kind of numbers that lets us do that.)