$$(5-2)^{3}\times2+[-4+(-7)]\div(-2+4)^{2}$$
$\frac{205}{4}=51.25$
$$3^{3}\times 2+\frac{-4-7}{\left(-2+4\right)^{2}}$$
$$27\times 2+\frac{-4-7}{\left(-2+4\right)^{2}}$$
$$54+\frac{-4-7}{\left(-2+4\right)^{2}}$$
$$54+\frac{-11}{\left(-2+4\right)^{2}}$$
$$54+\frac{-11}{2^{2}}$$
$$54+\frac{-11}{4}$$
$$54-\frac{11}{4}$$
$$\frac{205}{4}$$
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$\frac{5 \cdot 41}{2 ^ {2}} = 51\frac{1}{4} = 51.25$
