Question

why is any number to the power 0 = 1 or why is x^0 = 1

Answer 1

Answer:

In short, the multiplicative identity is the number 1, because for any other number x, 1*x = x. So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1

Step-by-step explanation:

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Answer 2

I hope you're familiar with algebraic equations and basic indices set off. If not, let me know.

Step-by-step explanation:

$x^{0} = x^{0}$

$x^{0} = x^{m-m}$ ( any number - same number = 0)

$x^{0} = \frac{x^{m} }{x^{m} }$      ( subtraction of indices in a same number means dividing both)

$x^{0} = 1$         ( any number / same number = 1)