document.write( "Question 1190689: What is z to the zero power times z to the negative 10th? Only using positive exponents. \n" ); document.write( "
Algebra.Com's Answer #822393 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
0^0 = 1, by convention.
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\n" ); document.write( "That means some people made that decision.
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\n" ); document.write( "\n" ); document.write( "In 1752, Euler in Introductio in analysin infinitorum wrote that a0 = 1[15] and explicitly mentioned that 0^0 = 1.[16] An annotation attributed[17] to Mascheroni in a 1787 edition of Euler's book Institutiones calculi differentialis[18] offered the \"justification\"\r
\n" ); document.write( "\n" ); document.write( "{\displaystyle 0^{0}=(a-a)^{n-n}={\frac {(a-a)^{n}}{(a-a)^{n}}}=1}{\displaystyle 0^{0}=(a-a)^{n-n}={\frac {(a-a)^{n}}{(a-a)^{n}}}=1}
\n" ); document.write( "as well as another more involved justification. In the 1830s, Libri[19][17] published several further arguments attempting to justify the claim 0^0 = 1, though these were far from convincing, even by standards of rigor at the time.[20]
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\n" ); document.write( "I wouldn't argue with Euler.
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