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

Think of all possible exponents and where zero fits in. If you question any of the other values, sort that out first, since they are easier.

| 3 ^ 2 |9|
|:-|:-|
|**3 ^ 1**|**3**|
|**3 ^ 0.5**|**1.732 …**|
|**3 ^ 0.1**|**1.116 …**|
|**3 ^ 0**|**1**|
|**3 ^ -0.1**|**0.896 …**|
|**3 ^ -0.5**|**0.577 …**|
|**3 ^ -1** |**0.333 …**|
|**3 ^ -2**|**0.111 …**|

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