a,12/7-3/4 nhân 4/9
b, 3/8 nhân 2/9:5/4
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a) \(\frac{75^3.3^7}{81^4.5^6}=\frac{5^3.3^3.5^3.3^7}{\left(3^4\right)^4.5^6}=\frac{5^6.3^3.3^7}{3^{16}.5^6}=\frac{3^{10}}{3^{16}}=\frac{1}{3^6}=\frac{1}{729}\)
b) \(\frac{6^6.4^2}{3^{12}.2^8}=\frac{2^6.3^6.\left(2^2\right)^2}{3^{12}.2^8}=\frac{2^6.3^6.2^4}{3^{12}.2^8}=\frac{2^{10}.3^6}{3^{12}.2^8}=\frac{2^2.1}{3^6}=\frac{4}{729}\)
c) \(\frac{34^5.2^5}{2^{14}.17^5}=\frac{2^5.17^5.2^5}{2^{14}.17^5}=\frac{2^{10}}{2^{14}}=\frac{1}{2^4}=\frac{1}{16}\)
\(\frac{2}{3}\)x \(\frac{5}{8}\)x \(\frac{8}{15}\)= \(\frac{2}{3}\)x \(\frac{1}{15}\)= \(\frac{2}{45}\)
\(\frac{22}{5}\)x \(12\)x \(\frac{20}{40}\)= \(\frac{22}{5}\)x \(12\)x \(\frac{1}{2}\)= \(\frac{22}{5}\)x 6 = \(\frac{122}{5}\)
\(\frac{7}{2}\)x \(\frac{26}{7}\)x \(\frac{4}{13}\)= \(\frac{91}{7}\)x \(\frac{4}{13}\)
\(\frac{10}{3}.x+\frac{67}{4}=\frac{53}{4}\)
\(\frac{10}{3}.x=\frac{53}{4}-\frac{67}{4}\)
\(\frac{10}{3}.x=-\frac{7}{2}\)
\(x=-\frac{7}{2}:\frac{10}{3}\)
\(x=-\frac{21}{20}\)
\(a,\)\(\frac{2^5\times3^{12}\times7^8}{2^7\times3^{10}\times7^9}=\frac{3^2\times\left(2^5\times3^{10}\times7^8\right)}{2^2\times7\times\left(2^5\times3^{10}\times7^8\right)}\)\(=\frac{3^2}{2^2\times7}=\frac{9}{28}\)
\(b,\)Tương tự
a: \(=\dfrac{3}{7}\left(\dfrac{4}{9}-\dfrac{13}{9}\right)=-\dfrac{3}{7}\)
b: \(=-\dfrac{5}{8}\left(\dfrac{3}{11}-\dfrac{12}{11}\right)=\dfrac{-5}{8}\cdot\dfrac{-9}{11}=\dfrac{45}{88}\)
a)
`7/12+3/4xx2/9`
`=7/12+1/6`
`=7/12+2/12`
`=9/12`
`=3/4`
b)
`8/9-4/15:2/5`
`=8/9-4/15xx5/2`
`=8/9-2/3`
`=8/9-6/9`
`=2/9`
\(a,\dfrac{12}{7}-\dfrac{3}{4}\times\dfrac{4}{9}=\dfrac{12}{7}-\dfrac{1}{3}=\dfrac{36}{21}-\dfrac{7}{21}=\dfrac{29}{21}\\ b,\dfrac{3}{8}\times\dfrac{2}{9}:\dfrac{5}{4}=\dfrac{1}{12}\times\dfrac{4}{5}=\dfrac{1}{15}\)
a)29/21
b)1/15