G
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Guest
This problem has got my friends and I stumped.
. . .\(\displaystyle \L \mbox{25. }\, \left(\frac{3x^{\frac{-2}{3}}\, -\, 2x^{\frac{1}{5}}}{x^{\frac{-1}{3}}}\right)^{\frac{-1}{2}}\)
My work:
. . .\(\displaystyle \L \left(\frac{3x^{\frac{1}{3}}\, -\, 2x^{\frac{8}{15}}}{x^{\frac{2}{3}}}\right)^{\frac{-1}{2}}\)
. . .\(\displaystyle \L \frac{\left(x^{\frac{2}{3}}\right)^{\frac{1}{2}}}{\left(3x^{\frac{1}{3}}\, -\, 2x^{\frac{8}{15}}\right)^{\frac{1}{2}}}\, =\, \frac{x^{\frac{2}{6}}}{3x^{\frac{1}{6}}\, -\, 2x^{\frac{8}{36}}}\)
. . .\(\displaystyle \L \frac{x^{\frac{1}{3}}}{3x^{\frac{1}{6}}\, -\, 2x^{\frac{4}{15}}}\)
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Edited by stapel -- Reason for edit: removing horizontal scroll
. . .\(\displaystyle \L \mbox{25. }\, \left(\frac{3x^{\frac{-2}{3}}\, -\, 2x^{\frac{1}{5}}}{x^{\frac{-1}{3}}}\right)^{\frac{-1}{2}}\)
My work:
. . .\(\displaystyle \L \left(\frac{3x^{\frac{1}{3}}\, -\, 2x^{\frac{8}{15}}}{x^{\frac{2}{3}}}\right)^{\frac{-1}{2}}\)
. . .\(\displaystyle \L \frac{\left(x^{\frac{2}{3}}\right)^{\frac{1}{2}}}{\left(3x^{\frac{1}{3}}\, -\, 2x^{\frac{8}{15}}\right)^{\frac{1}{2}}}\, =\, \frac{x^{\frac{2}{6}}}{3x^{\frac{1}{6}}\, -\, 2x^{\frac{8}{36}}}\)
. . .\(\displaystyle \L \frac{x^{\frac{1}{3}}}{3x^{\frac{1}{6}}\, -\, 2x^{\frac{4}{15}}}\)
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Edited by stapel -- Reason for edit: removing horizontal scroll