why is a number to the power of 0 always 1?

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Guest Sep 30, 2014

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Best Answer

As long as the number isn't 0, we can derivie this from the Laws of Exponents.....

Note that aⁿ / aⁿ = a^n-n = a⁰

But, any number divided by itself (except for 0) is always = 1

Therefore...... aⁿ / aⁿ = 1 → a⁰= 1

Note 0⁰ is known as an "indeterminant" form......(we can't say what it is !!!!)

CPhill Sep 30, 2014

CPhill · Answer 1 · 2014-09-30T08:04:55

As long as the number isn't 0, we can derivie this from the Laws of Exponents.....

Note that aⁿ / aⁿ = a^n-n = a⁰

But, any number divided by itself (except for 0) is always = 1

Therefore...... aⁿ / aⁿ = 1 → a⁰= 1

Note 0⁰ is known as an "indeterminant" form......(we can't say what it is !!!!)