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\(\sqrt[5](x)^{\frac{5}{6}}*\sqrt(x)\)

 

I need help with this... A clue, please?

 Jul 31, 2020
edited by TheLovely1  Jul 31, 2020
 #1
avatar+110713 
+3

Hi lovely

 

\(\sqrt[5]{x}^{\frac{5}{6}}*\sqrt{x}\\ =(x^{\frac{1}{5}})^{\frac{5}{6}}*x^{\frac{1}{2}}\\ =(x^{\frac{1}{5}*\frac{5}{6}})*x^{\frac{1}{2}}\\ =x^{\frac{1}{6}}*x^{\frac{3}{6}}\\ =x^{\frac{4}{6}}\\ =x^{\frac{2}{3}}\\ =\sqrt[3]{x^2}= (\sqrt[3]{x})^2\)

 Jul 31, 2020
 #2
avatar+75 
+1

Thank you so much, Melody!~

 

(Could have done with the end of step two but thank you for the help!~)

TheLovely1  Jul 31, 2020

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