why is x to the power of 0 always 1?

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I tried to google a proof, and i found that it comes from the formula: x^1*(1/x^1) where the two x^1s cancel eachother out. I wasn’t satisfied with the answer, so i am still somewhat confused.

Usually when there’s some math i don’t get, i try to imagine a scenario irl, where a formula would apply. This always helps, but i can’t find one here.

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Anonymous 0 Comments

Any number is equal to 1 times itself. 2=2 * 1. 3=3 * 1 etc.

So 2^2 = 1 * 2 * 2, 2^3 = 1 * 2 * 2 * 2 etc.
any number to the power of x is equivalent to multiplying 1 by your number x times.

So anything to the zero power would be multiplying 1 by your number zero times which is just 1.

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