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Why is anything to the zero power equal to one?
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Emma143

by Emma143 at November 27, 2010

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Let's look at the number 5 for example.I hope you're clear with 5^1 being equal to 5.If we multiply (5^1) by 5 that is the same as (5^2) = 25.Multiplying by 5 adds one to the exponent.Going backwards, when we divide by 5 we subtract one from the exponent.(5^2) ÷ 5 = (5^1) = 25 ÷ 5 = 5(5^1) ÷ 5 = (5^0) = 5 ÷5 = 1
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jhertz jhertz November 27, 2010

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remember the laws of exponents...x^-2 power is actually 1/x^2if we had x^2/x^2 then you can see it equal 1, but if you 'do the math' and bring up the denominator, you would subtract exponents...let's look at the exponents only...^2 - ^2 = 0...this would make it x^0 power = 1
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fabianscorpio fabianscorpio November 28, 2010

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Lets look at 4.You see that its a regular number and turn it into an exponent with zero and it is 4^0. When your dealing with exponents the zero is actually dividing by the OTHER number and 4 ÷ 4 is 1 so that is why it is ALWAYS 1. Check out the other answers and they will help you more than mine.
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ChromeRedCat ChromeRedCat December 04, 2010

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