Respuesta :

The given expression : 6 - 2/3squared

[tex]6-(\frac{2}{3})^2[/tex]

Square of 2/3

[tex]\begin{gathered} (\frac{2}{3})^2=\frac{2}{3}\times\frac{2}{3} \\ (\frac{2}{3})^2=\frac{4}{9} \\ \end{gathered}[/tex]

The expression will be:

[tex]\begin{gathered} 6-(\frac{2}{3})^2=6-\frac{4}{9} \\ 6-(\frac{2}{3})^2=\frac{6}{1}-\frac{4}{9} \end{gathered}[/tex]

Least common multiple of 1 and 9 is 9

[tex]\begin{gathered} 6-(\frac{2}{3})^2=\frac{6}{1}-\frac{4}{9} \\ 6-(\frac{2}{3})^2=\frac{54-4}{9} \\ 6-(\frac{2}{3})^2=\frac{50}{9} \end{gathered}[/tex]