Thực hiện phép tính: a) 5/6 + 8/21 . -7/8

a)

 \[\frac{5}{6} + \frac{8}{{21}} \cdot \frac{{ - 7}}{8}\]

= \[\frac{5}{6} + \frac{{ - 1}}{3}\]

 \( = \frac{5}{6} + \frac{{ - 2}}{6}\)

 \( = \frac{1}{2}\)

b)

 \(\frac{5}{{12}} \cdot \frac{{ - 58}}{{17}} + \frac{5}{{12}} \cdot \frac{7}{{17}}\)

\( = \frac{5}{{12}} \cdot \left( {\frac{{ - 58}}{{17}} + \frac{7}{{17}}} \right)\)

 \( = \frac{5}{{12}} \cdot \left( { - 3} \right)\)

 \( = \frac{{ - 5}}{4}\)

c)

 = \[\frac{{{{\left( {{2^3}} \right)}^{12}}.{{\left( {{3^2}} \right)}^{34}}}}{{{{\left( {{2^5}} \right)}^7}.{{\left( {{3^3}} \right)}^{23}}}}\]

 \[ = \frac{{{2^{36}}{{.3}^{38}}}}{{{2^{35}}{{.2}^{39}}}}\]

 \[ = \frac{2}{3}\]