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Tuition > Learn Tuition > Why any number to the power 0 is 1?
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Why any number to the power 0 is 1?

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Photographer, Singer, Party Organizer, Writer, Poet etc

Let 2 to the power 1 that means 2, if 2 to the power 2 means 2*2=4...if there is no power in a number or 0 is the power it indicates value=1.
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There's always an implicit 1 in the expansion: 2^3=2?2?2?1=8 2^2=2?2?1=4 2^1=2?1=2 2^0=1=1
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math magician

30 = 3/3 = 1 3-1 = 1/3 = 0.3333... (this decimal repeats forever) 3(-2) = 1/3/3 = 0.1111... 3(-3) = 1/3/3/3 = 0.037037... 30 = 3/3 = 1 3-1 = 1/3 = 0.3333... (this decimal repeats forever) 3(-2) = 1/3/3 = 0.1111... 3(-3) = 1/3/3/3 = 0.037037...
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math magician

I hope you will understand , till zero you have to make division and above o you have to make multiplication.
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Software Engineer provide tuition for last 10 years

Log1=0.That is why any number to the power 0 is always 1
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Tutor

3^1/3^1 =1 but a^m/a^n =a^(m-n) ?1=3?^(1-1)=3^0 instead of 3 u can replace any number except 0, you will get 1
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To show a proper way to students

Every number has power 0 means it is equals to 1 that means in a equation if we use it multiple times then it never effect on all the equation more if it is equals to 0 then it makes all equation 0.
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Express the number with 0 added to it, say, (3+0). Now expand it using binomial expansion. There you are!
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Online tutor and Vedic Math trainer

Log1=0..... According to logarithm value of log 1 is equal to 0 and when we write it in the form of exponents it becomes as follows: Log x 1 = 0 Here x is base so it becomes X^0=1
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