$$\frac { ( 25 ) ^ { 5 / 2 } \times ( 81 ) ^ { 1 / 4 } } { ( 125 ) ^ { 2 / 3 } \times ( 27 ) ^ { 2 / 3 } \times 8 ^ { 4 / 3 } }$$
$\frac{125}{48}\approx 2.604166667$
$$\frac{3125\times 81^{\frac{1}{4}}}{125^{\frac{2}{3}}\times 27^{\frac{2}{3}}\times 8^{\frac{4}{3}}}$$
$$\frac{3125\times 3}{125^{\frac{2}{3}}\times 27^{\frac{2}{3}}\times 8^{\frac{4}{3}}}$$
$$\frac{9375}{125^{\frac{2}{3}}\times 27^{\frac{2}{3}}\times 8^{\frac{4}{3}}}$$
$$\frac{9375}{25\times 27^{\frac{2}{3}}\times 8^{\frac{4}{3}}}$$
$$\frac{9375}{25\times 9\times 8^{\frac{4}{3}}}$$
$$\frac{9375}{225\times 8^{\frac{4}{3}}}$$
$$\frac{9375}{225\times 16}$$
$$\frac{9375}{3600}$$
$$\frac{125}{48}$$
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$\frac{5 ^ {3}}{2 ^ {4} \cdot 3} = 2\frac{29}{48} = 2.6041666666666665$
