\(=\dfrac{5\cdot2^{12}\cdot3^8-3^9\cdot2^{12}}{2^{15}\cdot3^{18}-2^{13}\cdot3^9}\)
\(=\dfrac{2^{12}\cdot3^8\left(5-3\right)}{2^{13}\cdot3^9\left(2^2\cdot3^9-1\right)}\)
\(=\dfrac{1}{3\cdot\left(4\cdot3^9-1\right)}\)
\(=\dfrac{5\cdot2^{12}\cdot3^8-3^9\cdot2^{12}}{2^{15}\cdot3^{18}-2^{13}\cdot3^9}\)
\(=\dfrac{2^{12}\cdot3^8\left(5-3\right)}{2^{13}\cdot3^9\left(2^2\cdot3^9-1\right)}\)
\(=\dfrac{1}{3\cdot\left(4\cdot3^9-1\right)}\)
o) \(\dfrac{\left(-1\right)^6.3^5.4^3}{9^2.2^5}\)
s) \(\dfrac{\dfrac{2}{7}+\dfrac{2}{5}+\dfrac{2}{17}-\dfrac{2}{25}}{\dfrac{3}{14}+\dfrac{3}{10}+\dfrac{3}{34}-\dfrac{3}{50}}\)
t) \(\sqrt{\dfrac{4}{9}}\) - \(\dfrac{1}{2}\): \(\left|\dfrac{-2}{3}\right|\)
Mg giải gấp giúp mình với
Tính nhanh nếu có thể:
a) \(\dfrac{15}{12}+\dfrac{5}{13}-\dfrac{3}{12}-\dfrac{18}{13}\)
b) \(\dfrac{5^4.20^4}{25^5.4^5}\)
c) \(\dfrac{8^{10}+4^{10}}{8^4+4^{11}}\)
\(\dfrac{4^5.9^4}{8^3.27^3}\);\(\dfrac{4^{20}.3^{35}}{2^{37}.27^{12}}\)\(;\dfrac{5^4.20^4}{25^5.4^5};\dfrac{2^{15}.9^4}{6^6.8^3}\)
tính
a) A = \(\dfrac{6^3+3.6^2+3^3}{-13}\)
b) B =\(\dfrac{2.8^4.27^2+4.6^9}{2^3.6^7+2^7.40.9^4}\)
c) C=\(\dfrac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^{16}.6^{19}-7.2^{29}.27^6}\)
1.Tính:
\(A=\frac{4^5.4^4-2.6^9}{2^{10}.3^8+6^8.20}\)
\(B=\frac{4^6.9^5+6^3.120}{8^4.3^{12}-6^{11}}\)
\(\dfrac{27^4.4^3}{9^5.8^2}\);\(\dfrac{3^{29}.4^{16}}{27^9.8^{11}}\)
a) \(\dfrac{6^3+3.6^2+3^3}{-13}\)
b) \(\dfrac{5^4.20^4}{24^5.4^5}\)
\(\dfrac{15}{12}+\dfrac{5}{13}-\dfrac{3}{12}-\dfrac{18}{13}-\dfrac{1}{3}\)
\(14.\dfrac{3}{2}+\dfrac{6}{5}:\left(\dfrac{-2}{5}\right)\)
\(\sqrt{\dfrac{1}{4}+\dfrac{2}{3}-\left(\dfrac{1}{3}\right)^2}\)
B=2.2^2+3.2^3+4.2^4+....+10.2^10