The square root of -9 is not possible because we cannot find a number that, when multiplied by itself, gives us a negative result. In our regular number system, the square of any real number is always positive or zero. So, there is no real number that can equal the square root of -9.
On the other hand, we can calculate √-27 to the power of 3 because we can first rewrite it. The square root of -27 can be expressed as √(-1) * √27. The square root of -1 is called "i," which is an imaginary number. √27 can be simplified to 3√3. So, √-27 equals 3√3 * i.
Now, when we raise it to the third power, we can follow the multiplication rules for exponents and find the answer. That means it is possible to work with √-27 and get a valid answer, even though it's in the realm of imaginary numbers.
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