\(\left(2017-2014\right)^3+6^8.6^9:6^{16}-2018^0\)
\(=3^3+6^8.6^9:6^{16}-2018^0\)
\(=3^3+6^{8+9-16}-2018^0\)
\(=3^3+6^1-2018^0\)
\(=27+6-2018^0\)
\(=33-2018^0\)
\(=33-1\)
\(=32\)
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