Giải:
\(\left(10^{12}+5^{11}.2^9-5^{13}.2^8\right):4.5^5.10^6\)
\(=\left(10^{12}+10^9.5^2-10^8.5^5\right):5^3.10^8\)
\(=10^8\left(10^4+10.5^2-5^5\right):5^3.10^8\)
\(=\dfrac{10^8\left(10^4+10.5^2-5^5\right)}{5^3.10^8}\)
\(=\dfrac{10^4+10.5^2-5^5}{5^3}\)
\(=\dfrac{5^3\left(2^3.10+2-5^2\right)}{5^3}\)
\(=80+2-25=57\)
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