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

x^(3) = x * x * x

x^(2) = x * x

x^(3) = x * x^(2)

Right?

Written in general

x^(n) = x * x^((n-1))

So then, applying the above logic

x^(1) = x * x^(0) , zero being (1-1)

If x^(0) was zero then x^(1) would also be zero.

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