Mathematics
FlorettaPouch822
2015-11-06 10:36:54
What is 9^1/3 times 81^1/3 simplified
ANSWERS
dimamatjale
2015-11-06 15:19:30

use exponential propoerties to make your life easier remember [latex](x^m)^n=x^{mn}[/latex] and [latex]x^frac{m}{n}=sqrt[n]{x^m}[/latex] and [latex](x^m)(x^n)=x^{m+n}[/latex] so write everybody as base 3 [latex]9=3^2[/latex] [latex]81=9^2=(3^2)^2=3^4[/latex] [latex](9^frac{1}{3})(81^frac{1}{3})=[/latex] [latex]((3^2)^frac{1}{3})((3^4)^frac{1}{3})=[/latex] [latex](3^frac{2}{3})(3^frac{4}{3})=[/latex] [latex]3^frac{2+4}{3}=[/latex] [latex]3^{6}{3}=[/latex] [latex]3^2=[/latex] [latex]9[/latex]

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