I’ll try to explain it how my high school math teacher explained it to us.
x^(0)
=> x^(y-y) ( This just means that we can write 0 as a subtraction of 2 same numbers; y in this case)
=> x^(y) / x^(y) ( A rule of exponents says that if you have different exponents to the same number in division, the exponents can be subtracted and vice versa)
=> 1
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