$$35.5-5.2 \times 5- \frac{ 14 }{ 2+6.1 }$$
$\frac{1259}{162}\approx 7.771604938$
$$35.5-26-\frac{14}{2+6.1}$$
$$9.5-\frac{14}{2+6.1}$$
$$9.5-\frac{14}{8.1}$$
$$9.5-\frac{140}{81}$$
$$\frac{19}{2}-\frac{140}{81}$$
$$\frac{1539}{162}-\frac{280}{162}$$
$$\frac{1539-280}{162}$$
$$\frac{1259}{162}$$
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$\frac{1259}{2 \cdot 3 ^ {4}} = 7\frac{125}{162} = 7.771604938271605$
