Anything multiplied by 0 is 0 right so why does x number raised to the power of 0 = 1? isnt it x^0 = x*0 (im turning grade 10 and i asked my teacher about this he told me its because its just what he was taught 💀)
In: Mathematics
If X^2 = X*X.
X^2 = X^1 * X^1 <=> X^1+1 .
X^2 / X^1 = X^1 * X^1 / X^1 <=> X^2-1 = X^1 .
X = X
So far so good, powers work and we showed that X^-1 = 1/X, as well as X^a * X^b = X^a+b
Then
X = X <=> X^1 * X^-1 = X^1 * X^-1 <=> X^1-1 = X/X.
X^0 = 1.
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