a)\(\frac{13}{17}+\frac{-4}{5}+\frac{2^4}{17}-\frac{7}{10}\)
\(=\left(\frac{13}{17}+\frac{16}{17}\right)-\left(\frac{4}{5}+\frac{7}{10}\right)\)
\(=\frac{29}{17}-\frac{8+7}{10}\)
\(=\frac{29}{17}-\frac{15}{10}\)\(=\frac{29}{17}-\frac{3}{2}\)
\(=\frac{58}{34}-\frac{51}{34}\)
\(=\frac{7}{34}\)
\(\frac{13}{17}\)+\(\frac{-4}{5}\)+\(\dfrac{2^4}{17}\)-\(\frac{7}{10}\)
= \(\dfrac{13+2^4}{17}\)+\(\dfrac{-8-7}{10}\)
=\(\dfrac{29}{17}+\dfrac{-15}{10}\)
=\(\dfrac{290}{170}+\dfrac{-255}{170}\)
=\(\dfrac{35}{170}\)
=\(\dfrac{7}{34}\)