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Mathematics 18 Online
OpenStudy (joshawad):

how does X^0=1?

OpenStudy (mathmate):

using the law of exponents, \[a^x * a^y =a^{x+y}\] so \[a^0*a^x=a^{0+x}=a^x\] from which we can deduce that \[a^0 = 1\] by the identity law.

OpenStudy (joshawad):

but where does the one come from?

OpenStudy (joshawad):

@mathmate

OpenStudy (mathmate):

From \[a^0*a^x=a^x\] divide both sides by a^x \[a^0*a^x/a^x=a^x/a^x\] => \[a^0=1\]

OpenStudy (joshawad):

but wouldn't it be a^0 / a^x * a^x = a^x/a^x ?

OpenStudy (anonymous):

its the crazyness of math

OpenStudy (joshawad):

acutally I would like a nonsarcastic remark but what can you expect from an 8 year old? yeah ur excused

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