|
ethan
you probably don't care to know all that theoretical "what is zero?" and stuff
ok to try and simplify and show you why n to the 0 power is 1
as the "power" number gets smaller, the answer gets closer to 1
when you start using decimals (actually fractions) as your power
think of that number as a root as in square root ("power" is 1/2) or cube root (power is 1/3) and so on
the square of the square root of a number equals that number
(n^(1/2))^2= n or (n^(1/5))^5 or (n^(1/x))^x
try writing it down to see it better
get a scientific calculator
we'll use n=2
2^3=8 , 2^2=4, 2^1=2
2^(1/2)= sq root of 2 = 1.414213 ; (1.414213^2=2)
2^(1/5)= 1.148698 ; (1.148698^5=2)
2^(1/1000000)= 1.00000069 ; (1.00000069^1000000=2)
this doesn't explain it totally correct, but you can see that the closer you get the power to zero, the answer gets closer to 1, so you can kind of assume that when you reach zero, you reach one
__________________
[Arthur] HA HA HA HA, It's a little joke![/Arthur]
|