why x to the power 0 = 1
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Answer:
because when power is 0 we considered x + 0 = 1
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Answer:
x⁰ = 1 is a identity & it's true for x ∈ ℝ - {0}
Proof :
x ⁰ = x ⁿ⁻ⁿ
There is an identity
x ⁿ⁻ⁱ = xⁿ / xⁱ for all values of x except 0 because 0ⁿ / 0ⁱ is undefined
x ⁰ = x ⁿ⁻ⁿ = xⁿ / xⁿ
There's an identity
k / k = 1 for all values of k except 0
x⁰ = x ⁿ⁻ⁿ = xⁿ / xⁿ = 1 for x ∈ ℝ - {0}
Hence Proved.
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