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

It’s a result of exponent rules. X^(2)*X^(3)=X^(2+3). Likewise X^(3)/x^(2) = x^(3-2)

For X^(0), we can say X^(0)=X^(y-y)=X^(y)/X^(y)=1.

For a practical example, we can say 2^(0) =2^(3-3)=2^(3)/2^(3)=8/8=1

X^(0)=1 is a natural consequence of exponent rules.

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