Why does a number powered to 0 = 1?

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Anything multiplied by 0 is 0 right so why does x number raised to the power of 0 = 1? isnt it x^0 = x*0 (im turning grade 10 and i asked my teacher about this he told me its because its just what he was taught 💀)

In: Mathematics

42 Answers

Anonymous 0 Comments

Instead of thinking about X^n in isolation think about it multiplied by Y. X^2 Y is Y multiplied by X two times or XXY. X^1 Y is Y multiplied by X one time or XY. X^0 Y is Y multiplied by X no times or Y. What does X^0 need to be such that X^0 Y = Y?

Just like nothing added together is the number that doesn’t change other numbers when added to it, zero (0X = 0), nothing multiplied together is the number that doesn’t change things when multiplied, one.

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