Tính giá trị biểu thức 2016^10 2016^11/2016^10-2016^11

Lời giải:

\(\begin{array}{l}\frac{{{{2016}^{10}} + {{2016}^{11}}}}{{{{2016}^{10}} - {{2016}^{11}}}}\\ = \frac{{{{2016}^{10}}.\left( {{{2016}^0} + {{2016}^1}} \right)}}{{{{2016}^{10}}.\left( {{{2016}^0} - {{2016}^1}} \right)}}\\ = \frac{{{{2016}^0} + 2016}}{{{{2016}^0} - 2016}}\\ = \frac{{1 + 2016}}{{1 - 2016}} = \frac{{2017}}{{ - 2015}} = \frac{{ - 2017}}{{2015}}\end{array}\)