SOLUTION: Very basic question here: Why is any number taken to the 0 power always equaled to 1? (I can't seem to find that answer anywhere.) Thank you.

Question 952381: Very basic question here: Why is any number taken to the 0 power always equaled to 1? (I can't seem to find that answer anywhere.)
Thank you.
Found 2 solutions by macston, josgarithmetic:
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
Consider what happens as exponents decrease:
,, , so =1
It is consistent with our description of exponential systems.
According to the law of exponents:
so =
While not exactly intuitive, we can see that it is consistent within the system.
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!

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We also have a rule about integer valued exponents:
which you will be able to compare with the successive examples just shown.

Briefly, look at , because .

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