# Why is x^0 = 1? ProofUsing simple mathematical tools we can prove that x to the power of zero is 1 by dividing indices i.e (x^n/x^n) = x^(n-n) = x^0 and this

Understanding Exponents (Why does 0^0 = 1?) We’re taught that exponents are repeated multiplication. This is a good introduction, but it breaks down on 3^1.5 and the brain-twisting 0^0.

56 comments. share. Thus if the product \$\Pi()\$ = 1, then we immediately see why \$0! = 0^0 = 1\$. Now in this case, 0¹ = 0. And 1^0 = 1. When a number is raised to the power 0, we are not actually multiplying the particular number by 0. Why is 0^0=1? Close. 3.

3. Posted by 9 years ago.

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Each time we reduce the exponent by one, we're dividing by x.
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