Given:
[tex](\frac{3}{5})^3\times6^3\div(\frac{9}{10})^3[/tex]
To Determine: The breakdown of the given
Solution
[tex]\begin{gathered} (\frac{3}{5})^3\times6^3\div(\frac{9}{10})^3=\frac{3^3}{5^3}\times6^3\times\frac{10^3}{9^3} \\ =\frac{3^3\times6^3\times10^3}{5^3\times9^3} \\ = \\ \end{gathered}[/tex][tex]\begin{gathered} (\frac{3}{5})^{3\times}\frac{6^{3}}{(\frac{9}{10})^{3}}= \\ \frac{3^3\times6^3\times10^3}{5^3\times9^3} \\ =64 \end{gathered}[/tex]
Hence, the answer is 64
