$$4^{2}+2^{5}\cdot2^{3}:2^{7}+(3^{3})^{2}:3^{4}$$
$27$
$$4^{2}+\frac{2^{8}}{2^{7}}+\frac{\left(3^{3}\right)^{2}}{3^{4}}$$
$$4^{2}+2^{1}+\frac{\left(3^{3}\right)^{2}}{3^{4}}$$
$$4^{2}+2^{1}+\frac{3^{6}}{3^{4}}$$
$$4^{2}+2^{1}+3^{2}$$
$$16+2^{1}+3^{2}$$
$$16+2+3^{2}$$
$$18+3^{2}$$
$$18+9$$
$$27$$
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$3^{3}$