Why every number to the power of 0 is equal to 1?

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I’m too dumb to get it

In: Mathematics

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Anonymous 0 Comments

Mathematicians *define* x^0 = 1 in order to make the laws of exponents work even when the exponents can no longer be thought of as repeated multiplication. For example, (x^3 ) (x^5 ) = x^8 because you can add exponents. In the same way (x^0 ) (x^2 ) should be equal to x^2 by adding exponents. But that means that x^0 must be 1 because when you multiply x^2 by it, the result is still x^2. Only x^0 = 1 makes sense here.

Essentially x^0 MUST equal one for all other exponents to work.

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