1/ \(\left(6^{2007}-6^{2006}\right):6^{2006}\)
\(=\dfrac{6^{2007}-6^{2006}}{6^{2006}}\)
\(=\dfrac{6^{2007}}{6^{2006}}-\dfrac{6^{2006}}{6^{20006}}\)
\(=6^1-1\)
\(=6-1\)
\(=5\)
2/ \(\left(11^{1009}+11^{1008}\right):11^{1008}\)
\(=\dfrac{11^{1009}+11^{1008}}{11^{1008}}\)
\(=\dfrac{11^{1009}}{11^{1008}}+\dfrac{11^{1008}}{11^{1008}}\)
\(=11^1+1\)
\(=11+1\)
\(=12\)