Thực hiện phép tính: a ) 2/3 - 7/6 + 5/2

Thực hiện phép tính

a) \[\frac{2}{3} - \frac{7}{6} + \frac{5}{2}\]

\[ = \frac{4}{6} - \frac{7}{6} + \frac{{15}}{6}\]\[ = \frac{{12}}{6} = 2\]

b) \(9 - {2023^0} + \sqrt {\frac{1}{{25}}} \)

\( = 9 - 1 + \frac{1}{5}\)\( = \frac{{41}}{5}\)

c) \[\frac{{{4^{1010}}{{.9}^{1010}}}}{{{3^{2019}}{{.16}^{504}}}}\]

\[ = \frac{{{{\left( {{2^2}} \right)}^{1010}} \cdot {{\left( {{3^2}} \right)}^{1010}}}}{{{3^{2019}} \cdot {{\left( {{2^4}} \right)}^{504}}}}\]

\[ = \frac{{{2^2}^{020}{{.3}^2}^{020}}}{{{3^{2019}}{{.2}^{2016}}}}\]

\[ = {2^4} \cdot 3\]

\[ = 16 \cdot 3\]

\[ = 48\]