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Evaluate the following expression.

 Sep 2, 2022
 #1
avatar+13892 
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Evaluate the expression.

 

Hello Keihaku!

 

\((\frac{16}{9})^{\frac{2}{3}}\cdot (\frac{4}{3})^{\frac{5}{3}}\\ =\sqrt[3]{\frac{4^{2\cdot 2}}{3^{2\cdot 2}}\cdot \frac{4^5}{3^5}}\\ =\frac{4^{(4+5)/3}}{3^{(4+5)/3}}\\ =\frac{4^3}{3^3}\\ \color{blue}=\frac{64}{27}=3.\overline{370}\)

laugh  !

 Sep 2, 2022
 #2
avatar+124 
0

Thanks! That was really helpful

Keihaku  Sep 2, 2022

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