$$(4^{0})^{2}+2^{6}:2^{3}+2^{3}:2^{3}+13^{5}:13^{4}-(2^{3}\cdot2-3^{2}-2^{2})$$
$20$
$$4^{0}+\frac{2^{6}}{2^{3}}+\frac{2^{3}}{2^{3}}+\frac{13^{5}}{13^{4}}-\left(2^{3}\times 2-3^{2}-2^{2}\right)$$
$$4^{0}+2^{3}+\frac{2^{3}}{2^{3}}+\frac{13^{5}}{13^{4}}-\left(2^{3}\times 2-3^{2}-2^{2}\right)$$
$$4^{0}+2^{3}+1+\frac{13^{5}}{13^{4}}-\left(2^{3}\times 2-3^{2}-2^{2}\right)$$
$$4^{0}+2^{3}+1+13^{1}-\left(2^{3}\times 2-3^{2}-2^{2}\right)$$
$$4^{0}+2^{3}+1+13^{1}-\left(2^{4}-3^{2}-2^{2}\right)$$
$$1+2^{3}+1+13^{1}-\left(2^{4}-3^{2}-2^{2}\right)$$
$$1+8+1+13^{1}-\left(2^{4}-3^{2}-2^{2}\right)$$
$$9+1+13^{1}-\left(2^{4}-3^{2}-2^{2}\right)$$
$$10+13^{1}-\left(2^{4}-3^{2}-2^{2}\right)$$
$$10+13-\left(2^{4}-3^{2}-2^{2}\right)$$
$$23-\left(2^{4}-3^{2}-2^{2}\right)$$
$$23-\left(16-3^{2}-2^{2}\right)$$
$$23-\left(16-9-2^{2}\right)$$
$$23-\left(7-2^{2}\right)$$
$$23-\left(7-4\right)$$
$$23-3$$
$$20$$
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$2^{2}\times 5$