Pi is basically the relationship between the circumference and diameter of a circle. (c/d). If you divide the circumference by the diameter you will always get pi, since C=Pi times d (or 2 times pi times radius), so circumference (C) divided by diameter (D) is Pi.
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(pi)(1/pi)=1.4396 ...
the same as pi squared, which is 9.86960440109
The square root of pi times pi is simply pi. Because pi*pi=pi squared, the squared and the square root will cancel each other, leaving just pi.
Pi to the 5th power is approximately 306.019684785
Pi is a number. There are no fractals of pi.