Question

Why any number having the power of zero is equal to one??
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Answer 1

Any number to the zero power always gives one.

One rule for exponents is that exponents add when you have the same base. So if you have a number, x, and exponents, a and b, then:
x^a * x^b = x^(a+b)
So then if we make one of the exponents negative:x^a * x^-b = x^(a-b)
And if the exponents are the same magnitude (a = b)x^a * x^-b = x^a * x^-a = x^(a-a) = x⁰

Now, remember that if you have a negative exponent, it means you have one divided by the number to the exponent:

x^-a = 1/x^a
So, we can also write x^a * x^-a in a different way:
x^a * x^-a = x^a * 1/x^a = x^a/x^a
And a number divided by itself is always 1 so:
x^a * x^-a = x^a* 1/x^a = x^a/x^a = 1:
So now we've shown that:
x^a * x^-a = x^(a-a) = x⁰
and
x^a * x^-a = x^a * 1/x^a:
This means that any number x⁰ = 1.