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a) \(\left(\frac{3}{7}+\frac{1}{2}\right)^2=\left(\frac{6}{14}+\frac{7}{14}\right)^2=\left(\frac{13}{14}\right)^2=\frac{169}{196}\)
b) \(\left(\frac{3}{4}-\frac{5}{6}\right)^2=\left(\frac{9}{12}-\frac{10}{12}\right)^2=\left(-\frac{1}{2}\right)^2=\frac{1}{4}\)
d) \(\left(-\frac{10}{3}\right)^5.\left(-\frac{6}{5}\right)^4=-\frac{2560}{3}\)
e) \(\left(1+\frac{2}{3}-\frac{1}{4}\right).\left(\frac{4}{5}-\frac{3}{4}\right)^2=\frac{17}{12}.\left(\frac{1}{20}\right)^2=\frac{17}{12}.\frac{1}{400}=\frac{17}{4800}\)
f) \(2:\left(\frac{1}{2}-\frac{2}{3}\right)^3=2:\left(-\frac{1}{6}\right)^3=2:-\frac{1}{216}=-432\)
a, \(\left(\frac{4}{9}+\frac{1}{3}\right)^2=\frac{49}{81}\)
b, \(\left(\frac{-10}{3}\right)^5.\left(\frac{-6}{5}\right)^4=\frac{-2560}{3}\)
c, \(\left(\frac{1}{2}-\frac{3}{5}\right)^3=\frac{-1}{1000}\)
d,\(\left(\frac{3}{4}\right)^3:\left(\frac{3}{4}\right)^2:\left(\frac{-2}{3}\right)^3=\frac{-81}{32}\)
a) (4/9 + 1/3)^2
= (4/9 + 3/9)^2
= (7/9)^2
= 49/81
b) (1/2 - 3/5)^3
= (5/10 - 6/10)^3
= (-1/10)^3
= -1/1000
c) (-10/3)^5 x (-6/5)^4
= tương tự những câu trên
d) cũng tương tự nhé
\(\left(-\frac{2}{3}+\frac{1}{2}\right):\frac{4}{3}+\left(-\frac{1}{4}+\frac{2}{5}\right).\frac{10}{3}\)
= \(\left(-\frac{4}{6}+\frac{3}{6}\right).\frac{3}{4}+\left(-\frac{5}{20}+\frac{8}{20}\right).\frac{10}{3}\)
= \(-\frac{1}{6}.\frac{3}{4}+\frac{3}{20}.\frac{10}{3}\)
= \(-\frac{1}{8}+\frac{1}{2}\)
= \(-\frac{1}{8}+\frac{4}{8}\)
= \(\frac{3}{8}\)
Chúc bạn học tốt !!!