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\(\frac{27^3.4^5}{6^8}:\left(\frac{5^5.2^4}{10^4}:\frac{6^4}{2^6.3^4}\right)\)
\(=\frac{3^9.2^{10}}{6^8}:\left(5:\frac{1}{2^2}\right)\)\(=3.2^2:20=\frac{12}{20}=\frac{3}{5}\)
\(\frac{27^3.4^5}{6^8}:\left(\frac{5^5.2^4}{10^4}:\frac{6^4}{2^6.3^4}\right)\)
\(=\frac{\left(3^3\right)^3.\left(2^2\right)^5}{\left(3.2\right)^8}:\left(\frac{5^5.2^4}{\left(5.2\right)^4}:\frac{\left(2.3\right)^4}{2^6.3^4}\right)\)
\(=\frac{3^9.2^{10}}{3^8.2^8}:\left(\frac{5^5.2^4}{5^4.2^4}:\frac{2^4.3^4}{2^6.3^4}\right)\)
\(=3.2^2:\left(5:\frac{1}{2^2}\right)\)
\(=3.4:\left(5.4\right)\)
\(=12:20\)
\(=\frac{12}{20}=\frac{3}{5}\)

Mình làm nhầm chỗ 29.39.23.3.5 phải bằng 212.310.5. Thông cảm nha bạn
\(\frac{4^6.9^5-6^9.120}{8^4.3^{12}-6^{11}}\)
\(=\frac{2^{12}.3^{10}+2^{12}.3^{10}.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(=\frac{2^{12}.3^{10}\left(1+5\right)}{2^{11}.3^{11}\left(2.3-1\right)}\)
\(=\frac{2.6}{3.5}\)
\(=\frac{4}{5}\)

1/9-5/6-4/7/12-1/36-10
=6/54-45/54-216/54/21/36-1/36-360/36
=-255/54/-340/36
=-85/18-85/9
=-85/18-170/18
=-255/18
=-85/6
tính mà rối loạn lão

\(\frac{6}{25}-\frac{81}{25}+\left|-4\right|\cdot\frac{2}{7}-(-2)^3\)
\(\Rightarrow\frac{6-81}{25}+4\cdot\frac{2}{7}-(-2)^3\)
\(=\frac{-75}{25}+\frac{8}{7}+8\)
\(=3+\frac{8}{7}+8=3+8+\frac{8}{7}=11+\frac{8}{7}=\frac{77+8}{7}=\frac{85}{7}\)
\(\frac{6}{25}-\frac{81}{25}+|-4|.\frac{2}{7}-\left(-2\right)^3\)
\(=\frac{6-81}{25}+4.\frac{2}{7}-\left(-8\right)\)
\(=\frac{-75}{25}+\frac{8}{7}+8\)
\(=-3+\frac{8}{7}+8\)
\(=5+\frac{8}{7}=\frac{35}{7}+\frac{8}{7}=\frac{35+8}{7}=\frac{43}{7}\)

39.210=39.29.2=69.2=68.12 (rút gọn vs mẫu số)
tương tự vs các phân số trong ngoặc

a: \(=5^2+16\cdot125-1=24+2000=2024\)
b: \(=-145+55+42-42+90=-90+90=0\)
c: =-4+2+6+8-10+13-15=4+8-10-2=12-10-2=0

\(\frac{14.2^5+3.2^6}{2^6}=\frac{2^5\left(14+3.2\right)}{2^6}=\frac{14+6}{2}=\frac{20}{2}=10\)

a) \(\frac{3}{2}+\left(6-\frac{3}{2}\right)\)
\(=\frac{3}{2}+6-\frac{3}{2}\)
\(=\left(\frac{3}{2}-\frac{3}{2}\right)+6\)
\(=0+6\)
\(=6\)
b) \(\frac{7}{3}-\frac{4}{3}:4+1\frac{1}{2}\)
\(=\frac{7}{3}-\frac{1}{3}+\frac{3}{2}\)
\(=2+\frac{3}{2}\)
\(=\frac{7}{2}\)
_Chúc bạn học tốt_
a) \(\frac{3}{2}+\left(6-\frac{3}{2}\right)\)
\(=\frac{3}{2}+6-\frac{3}{2}\)
\(=\frac{3}{2}-\frac{3}{2}+6\)
\(=0+6=6\)
Đây là cách tính nhanh nha
\(\frac{7}{3}-\frac{4}{3}:4+1\frac{1}{2}\)
\(=\frac{7}{3}-\frac{4}{3}.\frac{1}{4}+\frac{3}{2}\)
\(=\frac{7}{3}-\frac{1}{3}+\frac{3}{2}\)
\(=\frac{6}{3}+\frac{3}{2}\)
\(=\frac{12+9}{6}\)
\(=\frac{21}{6}\)
\(=\frac{7}{2}\)

a: \(=8\cdot252-252:9+1296:52\)
=2016-28+324/13
=26168/13
b: =513+184-679+46-46
=697-679
=18
6.(-4) = -24