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PD
1
3 tháng 7 2015
a) 169/196
b) 1/144
c) \(\frac{5^4.20^4}{25^5.4^5}=\frac{\left(5.20\right)^4}{\left(25.4\right)^5}=\frac{100^4}{100^5}=\frac{1}{100}\)
d) -2506/3
14 tháng 8 2017
a, \(4^3.5^3=\left(4.5\right)^3=20^3=8000\)
b, \(6^3.5^3=\left(6.5\right)^3=30^3=27000\)
c, \(8^2.5^2=\left(8.5\right)^2=40^2=1600\)
d, \(125^3.8^3=\left(125.8\right)^3=1000^3\)
e, \(5^2.6^2.3^2=\left(5.6.3\right)^2=90^2\)
JP
1
2 tháng 2 2022
a: \(=\dfrac{5^5\cdot5^{10}\cdot4^5}{5^{10}\cdot2^{10}}=5^5\)
b: \(=\left(\dfrac{0.9}{0.3}\right)^5\cdot\dfrac{1}{0.3}=\dfrac{3^5}{0.3}=810\)
c: \(=\dfrac{2^{12}\cdot3^6+2^3\cdot3^3\cdot2^3\cdot3\cdot5}{2^{12}\cdot3^{12}-2^{11}\cdot3^{11}}\)
\(=\dfrac{2^{12}\cdot3^6+2^6\cdot3^4\cdot5}{2^{11}\cdot3^{11}\cdot5}\)
\(=\dfrac{2^6\cdot3^4\left(2^6\cdot3^2+5\right)}{2^{11}\cdot3^{11}\cdot5}=\dfrac{1}{2^5}\cdot\dfrac{1}{3^7}\cdot\dfrac{581}{5}=\dfrac{581}{2^5\cdot3^7\cdot5}\)
NN
0
28 tháng 2 2022
c: \(=\dfrac{7}{23}\cdot\left(\dfrac{-4}{3}-\dfrac{5}{2}\right)=\dfrac{7}{23}\cdot\dfrac{-8-15}{6}\)
\(=\dfrac{7}{23}\cdot\dfrac{-23}{6}=-\dfrac{7}{6}\)
d: \(=\dfrac{5}{7}\left(23+\dfrac{1}{4}-13-\dfrac{1}{4}\right)=\dfrac{5}{7}\cdot10=\dfrac{50}{7}\)
e: \(=\dfrac{2^5\cdot3^3\cdot5^3}{2^3\cdot3^3\cdot2^2\cdot5^2}=5\)
i: \(=\dfrac{1}{3^{10}}\cdot3^{50}-\dfrac{2^{10}}{3^{10}}:\dfrac{4^5}{3^{10}}\)
\(=3^{40}-1\)
26 tháng 6 2019
\(\frac{5^4.20^4}{25^5.4^5}=\frac{\left(5.20\right)^4}{\left(25.4\right)^5}=\frac{100^4}{100^5}=\frac{1}{100}\)
DH
25 tháng 6 2017
a, \(\dfrac{4^2.4^3}{2^{10}}=\dfrac{4^5}{2^{10}}=\dfrac{\left(2^2\right)^5}{2^{10}}=\dfrac{2^{10}}{2^{10}}=1\)
b, \(\dfrac{2^7.9^3}{6^5.8^2}=\dfrac{2^7.\left(3^2\right)^3}{2^5.3^5.\left(2^3\right)^2}=\dfrac{2^7.3^6}{2^5.3^5.2^6}=\dfrac{3}{2^4}=\dfrac{3}{16}\)
c, \(\dfrac{9^7.5^6.125^9}{15^{15}.5^{18}}=\dfrac{3^{21}.5^6.5^{27}}{5^{15}.3^{15}.5^{18}}=\dfrac{3^{21}.5^{33}}{3^{15}.5^{33}}=3^6=729\)
d, \(\dfrac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}=\dfrac{2^{12}.3^{10}+2^9.3^9.2^3.3.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(=\dfrac{2^{12}.3^9.\left(1+3.5\right)}{2^{11}.3^{11}.\left(2.3-1\right)}=\dfrac{2.16}{3^2.5}=\dfrac{32}{45}\)
Chúc bạn học tốt!!!
\(\left(-\dfrac{10}{3}\right)^5.\left(-\dfrac{6}{5}\right)^4\\ =\left(-\dfrac{10}{3}\right)^5.\left(\dfrac{6}{5}\right)^4\\ =-\left(\dfrac{10}{3}\right)^5.\left(\dfrac{6}{5}\right)^4\\ =-\dfrac{10^5.6^4}{3^5.5^4}=-\dfrac{2^5.5^5.3^4.2^4}{3^5.5^4}\\ =-\dfrac{2^9.3^4.5^4.5}{3.3^4.5^4}\\ =-\dfrac{2^9.5}{3}=-\dfrac{2560}{3}\)
\(=\dfrac{-100000}{243}\times\dfrac{1296}{625}=\dfrac{\left(-100000\right).1296}{243.625}=\dfrac{\left(-160\right).625.1296}{625.243}=\dfrac{-160.1296}{243}=\dfrac{81.16.\left(-160\right)}{81.3}=\dfrac{16.\left(-160\right)}{3}=\dfrac{-2560}{3}\)