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Why is a number raised to the zero power ALWAYS one and never any other number?

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Do you know how to simplify, let's say for example, x⁵/x² ?

When the bases are the same, you can just subtract the exponent in
the denominator from the exponent in the numerator. So x⁵/x² = x³ .

Now look at x⁷/x⁷ . From that same handy tip, x⁷/x⁷ = x⁰ .

BUT ... any fraction with the same number on top and bottom
is equal to ' 1 '. So x⁰ = 1 , no matter what 'x' happens to be.

Does that do anything for you ?


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