What will caused the probability of the experiment does not match to the theoretical probabilities? And what's 0 to the 0th power?

see below

Step-by-step explanation:

A theoretical probability the what we think will happen like flipping a coin 10 times and getting 5 heads.  We more than likely will not get 5 heads if we flip a coin 10 times.     The experimental probability gets closer to the theoretical probability the more times we run the experiment.  If we flip a coin a 100 times it will probably be closer to 50  heads than it was at 10 times.  If we flip a coin a 1000 times, it would get even closer.

0^0 is undefined.  It is like me asking you to tear a piece of paper into 0 pieces.  You cannot do it.  Group 0 pieces of paper into 0 groups.  It logically doesn't make sense.

Experimental probability is what happens; it's obtained based on outcomes of an experiment with a certain number of trials.

Theoretical probability is what is expected to happen. It is based on an estimate of predicted outcomes of an experimental.

0⁰ is an indeterminate form.

Any number to the power 0 is 1 except for zero

-2 is the right

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this