Each time you multiply a number by itself you increment the exponent:
Each time you divide a number by itself you decrement the exponent:
(A^3)/A = A^2
(A^2)/A = A^1 = A
A/A = 1 = A^0
Hope this helps.
but in fact the best argument
if x is a number
but i don't know if you know exp and log functions lol
If you have a calculator try raising some number to smaller and smaller powers and see what happens.
100^.0000001 = 1.000000461
Here is another explanation
If you accept the rules of exponents then
x^a/x^a = x^(a-a) = x^0
but x^a/x^a = 1 since any number divided by itself is 1
so x^0 = 1
i don't know what is your level in maths..
so you can write x^a/x^a=1
but,in fact,it's wring because it's not defined for x=0
so your answer is right but in high school it's wrong...
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