$$( \frac { 3 } { 5 } ) ^ { 3 } \times ( \frac { 5 } { 3 } ) ^ { 5 }$$
$\frac{25}{9}\approx 2.777777778$
$$\frac{27}{125}\times \left(\frac{5}{3}\right)^{5}$$
$$\frac{27}{125}\times \frac{3125}{243}$$
$$\frac{27\times 3125}{125\times 243}$$
$$\frac{84375}{30375}$$
$$\frac{25}{9}$$
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$\frac{5 ^ {2}}{3 ^ {2}} = 2\frac{7}{9} = 2.7777777777777777$