a: \(=\dfrac{-10^5}{3^5}\cdot\dfrac{2^4\cdot3^4}{5^4}=\dfrac{-2^5\cdot5^5\cdot2^4}{3\cdot5^4}=\dfrac{-2^9\cdot5}{3}\)
b: \(=\dfrac{12+8-3}{12}\cdot\left(\dfrac{16-15}{20}\right)^2\)
\(=\dfrac{17}{12}\cdot\dfrac{1}{400}=\dfrac{17}{4800}\)
a,\(\left(\dfrac{-10}{3}\right)^5.\left(\dfrac{-6}{5}\right)^4\)
\(=-\dfrac{10^5}{3^5}.\dfrac{6^4}{5^4}\)
\(=-\dfrac{100000}{243}.\dfrac{1296}{625}\)
\(=-\dfrac{2560}{3}\)
b,\(\left(1+\dfrac{2}{3}-\dfrac{1}{4}\right).\left(\dfrac{4}{5}-\dfrac{3}{4}\right)^2\)
\(=\left(\dfrac{12}{12}+\dfrac{8}{12}-\dfrac{3}{12}\right).\left(\dfrac{16}{20}-\dfrac{15}{20}\right)^2\)
\(=\dfrac{17}{12}.\left(\dfrac{1}{20}\right)^2\)
\(=\dfrac{17}{12}.\dfrac{1^2}{20^2}=\dfrac{17}{12}.\dfrac{1}{400}=\dfrac{17}{4800}\)
