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b)19.25+9.95+38.15 c)(-3879-3879-3879-3879).(-25)
=19.25 9.19. 5+19.2.15 = -3879.4.(-25)
= 19.( 25+9.5+2.15) = -3879.[4.(-25)]
=19.100 = -3879.(-100)
=1900 =387900
e) -54.72+54.(-28)
= -54.72-54.28
= -54.(72+28)
= -54.100
= -5400

41.29 + 41.70 + 41
= 41.(29 + 70 + 1)
= 41. { (29+1) + 70}
= 41.(30 + 70)
= 41.100
= 4100
= 37.(72 - 5 + 33)
=37.{ (72 + 33) - 5}
= 37. (105 - 5)
= 37. 100
= 3700

4.52-3.23+65:63
=4.25-3.8+62
=4.25-3.2.4+36
=4.(25-3.2)+36
=4.19+36
=76+36
=112

\(\frac{4^7.3^4.9^6}{6^{13}}=\frac{\left(2^2\right)^7.3^4.\left(3^2\right)^6}{\left(2.3\right)^{13}}=\frac{2^{14}.3^4.3^{12}}{2^{13}.3^{13}}=\frac{2.2^{13}.3^{13}.3^3}{2^{13}.3^{13}}=2.3^3=2.27=54\)

\(10\cdot\frac{4^6\cdot9^5+6^9\cdot120}{8^4\cdot3^{12}-6^{11}}\)
\(=10\cdot\frac{2^{12}\cdot3^{10}+2\cdot9\cdot3^9\cdot2^3\cdot3\cdot5}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(=10\cdot\frac{2^{12}\cdot3^{10}\cdot\left(1+5\right)}{2^{11}\cdot3^{11}\cdot\left(2\cdot3-1\right)}\)
\(=10\cdot\frac{2\cdot6}{3\cdot5}=8\)


\(\frac{3^4.4-3^6}{3^5.5+10.3^2.4}=\frac{3^4\left(4-3^2\right)}{3^5.5+2.5.3^2.2^2}=\frac{3^4\left(-5\right)}{3^2.5\left(3^3+2^3\right)}=\frac{3^2.3^2.5.\left(-1\right)}{3^2.5.35}=\frac{3^2\left(-1\right)}{35}=\frac{-9}{35}\)

\(14:\left(4\frac{2}{3}-1\frac{5}{9}\right)+14:\left(\frac{2}{3}+\frac{8}{9}\right)\)
\(=14:\left(\frac{14}{3}-\frac{14}{9}\right)+14:\left(\frac{2}{3}+\frac{8}{9}\right)\)
\(=14:\left(\frac{14}{3}-\frac{14}{9}+\frac{2}{3}+\frac{8}{9}\right)\)
\(=14:\left(\frac{16}{3}-\frac{6}{9}\right)\)
\(=14:\left(\frac{16}{3}-\frac{2}{3}\right)\)
\(=14:\frac{14}{3}\)
\(=14.\frac{3}{14}=3\)

\(\frac{6}{25}-\frac{81}{25}+\left|-4\right|\cdot\frac{2}{7}-(-2)^3\)
\(\Rightarrow\frac{6-81}{25}+4\cdot\frac{2}{7}-(-2)^3\)
\(=\frac{-75}{25}+\frac{8}{7}+8\)
\(=3+\frac{8}{7}+8=3+8+\frac{8}{7}=11+\frac{8}{7}=\frac{77+8}{7}=\frac{85}{7}\)
\(\frac{6}{25}-\frac{81}{25}+|-4|.\frac{2}{7}-\left(-2\right)^3\)
\(=\frac{6-81}{25}+4.\frac{2}{7}-\left(-8\right)\)
\(=\frac{-75}{25}+\frac{8}{7}+8\)
\(=-3+\frac{8}{7}+8\)
\(=5+\frac{8}{7}=\frac{35}{7}+\frac{8}{7}=\frac{35+8}{7}=\frac{43}{7}\)
sửa đề(thêm dấu cộng): 41.72+41.29
= 41.(72+29)
= 41.101
= 4141