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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9 Answers

Anonymous 0 Comments

an example is probably the best in this case

lets take x = 2

2^3 = 8

lets go down a power

2^2 = 4 which is also (2^3)/2

as you can see, you can, we can “subtract” one power by dividing by the base. Lets keep going

2^1 = 2 which is also (2^2)/2

2^0 is (2^1)/2 which is 1

This should apply to any positive X value

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