\(\frac{8^{19}\cdot14^{11}}{49^6\cdot2^{68}}\)= ?
\(\frac{9^{24}\cdot27^{13}}{3^{65}\cdot81^5}\) = ?
Tính \(A=\left(\frac{1}{4\cdot9}+\frac{1}{9\cdot14}+\frac{1}{14\cdot19}+...+\frac{1}{44\cdot49}\right)\cdot\frac{1-3-5-7-...-49}{89}\)
\(B=\frac{5\cdot4^{15}\cdot9^9-4\cdot3^{20}\cdot8^9}{5\cdot2^{10}\cdot6^{19}-7\cdot2^{29}\cdot27^6}-\frac{2^{19}\cdot27^3+15\cdot4^9\cdot9^4}{6^9\cdot2^{10}+12^{10}}\)
bài này không khó. Nhưng đánh máy để giải cho bạn thì thực sự khó
\(\frac{12^2\cdot4^{16}}{11\cdot2^{13}\cdot4^{11}-16^9}+\frac{7\cdot9+14\cdot27+21\cdot36}{21\cdot27+42\cdot81+63\cdot108}\)
Tinh
A=\(\frac{15\cdot3^{11}+4\cdot27^1}{9^7}\)
B=\(\frac{5\cdot2^{13}+4^{11}-1}{\left(3\cdot2^{17}\right)^2}\)
C=\(\frac{2^{19}\cdot27^3+15\cdot4^9\cdot9^4}{6^9\cdot2^{10}+12^{10}}\)
\(A=\frac{15.3^{11}+4.27^1}{9^7}\)
\(\Rightarrow A=\frac{3.5.3^{11}+4.3^{3^1}}{\left(3^2\right)^7}\)
\(\Rightarrow A=\frac{3^{12}.5+4.3^3}{3^{14}}\)
\(\Rightarrow A=\frac{3^3.\left(5.3^8+4.3^3\right)}{3^{14}}\)
\(\Rightarrow A=\frac{32805+4}{177147}\)
\(\Rightarrow A=\frac{32809}{177147}\)
Tính hợp lý:
\(H=\frac{\left(3\cdot4\cdot2^{16}\right)}{11\cdot2^{13}\cdot4^{11}-16^9}\)
\(I=\frac{5\cdot4^{15}\cdot9^9-4\cdot3^{20}\cdot8^9}{5\cdot2^9\cdot6^{19}-7\cdot2^{29}\cdot27^6}\)
\(I=\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^9.6^{19}-7.2^{29}.27^6}=\frac{5.2^{30}.3^{27}-2^2.3^{20}.2^{27}}{5.2^9.2^{19}.3^{19}-7.2^{29}.3^{18}}\)
\(=\frac{5.2^{30}.3^{27}-3^{30}.2^{29}}{5.2^{28}.3^{19}-7.2^{29}.3^{18}}\)
\(=\frac{2^{29}.3^{27}.\left(5.2-3^3\right)}{2^{28}.3^{18}.\left(5.3-2.7\right)}\)
\(=\frac{2^{29}.3^{27}.-17}{2^{18}.3^{18}}\)
\(=\frac{2^9.3^9.-17}{1}\)
Ta có \(H=\frac{\left(3.4.2^{16}\right)}{11.2^{13}.4^{11}-16^9}\)
\(=\frac{3.4.2^{16}}{11.2^{13}.2^{22}-2^{36}}\)
\(=\frac{3.2^{18}}{11.2^{35}-2^{36}}\)
\(=\frac{3.2^{18}}{2^{35}.\left(11-2\right)}\)
\(=\frac{3.2^{18}}{2^{35}.3^2}\)
\(=\frac{1}{2^{17}.3}\)
tính giá trị biểu thức
\(B=\frac{5\cdot4^{15}\cdot9^9-4\cdot3^{20}\cdot8^9}{5\cdot2^9\cdot6^{19}-7\cdot2^{29}\cdot27^6}\)
\(C=\frac{2181\cdot729+243\cdot81\cdot27}{3^2\cdot9^2\cdot243+18\cdot54\cdot162\cdot9+723\cdot729}\)
lời giải nữa nhé
\(A=2000\)
\(B=\frac{-2}{11}\)
\(C=1\)
\(D=\frac{11}{10}\)
Nát óc mới làm được
k ủng hộ nhá
Tính nhanh
A)\(\frac{\left(-2\right)^{17}\cdot25^3\cdot27^4}{6^{11}\cdot10^5\cdot\left(-3\right)^2}\)
B)\(\frac{9^4\cdot49^3\cdot2^5}{21^5\cdot81\cdot6^3}\)
Mình cần gấp , xin các bạn giúp mình
A) \(=\frac{\left(-1\right).2^{17}.5^6.3^{12}}{2^{16}.5^53^{13}}=\frac{10}{3}\)
B) Tương tự câu A bạn tự làm nha
Sửa câu A thành \(\frac{-10}{3}\)nha nãy viết vội quá
A) = \(\frac{\left(-1\right)\cdot2^{17}\cdot\left(5^2\right)^3\cdot\left(3^3\right)^4}{\left(2\cdot3\right)^{11}\cdot\left(2\cdot5\right)^5\cdot3^2}\)= \(\frac{\left(-1\right)\cdot2^{17}\cdot5^6\cdot3^{12}}{\left(2^{11}\cdot2^5\right)\cdot\left(3^{11}\cdot3^2\right)\cdot5^5}\)= \(\frac{\left(-1\right)\cdot2^{16}\cdot2\cdot5^5\cdot5\cdot3^{12}}{2^{16}\cdot3^{12}\cdot3\cdot5^5}\)
= \(\frac{\left(-1\right)\cdot2\cdot5}{3}=\frac{-10}{3}\)
B) = \(\frac{\left(3^2\right)^4\cdot\left(7^2\right)^3\cdot2^5}{\left(7\cdot3\right)^5\cdot3^4\cdot\left(2\cdot3\right)^3}\)= \(\frac{3^8\cdot7^6\cdot2^5}{7^5\cdot3^5\cdot3^4\cdot2^3\cdot3^3}\)= \(\frac{3^8\cdot7^5\cdot7\cdot2^3\cdot2^2}{7^5\cdot3^8\cdot3^4\cdot2^3}\)= \(\frac{7\cdot4}{3^4}\)= \(\frac{28}{81}\)
tính\(\frac{9^{4^{ }}\cdot27^5\cdot3^6\cdot4^4}{3^8\cdot8^{14}\cdot24\cdot3\cdot8^2}\)
\(\frac{5\cdot415\cdot9^9-4\cdot3^{20}\cdot8^9}{5\cdot2^9\cdot2^{19}-7\cdot2^{19}.27^6}\)
\(\frac{8^5\cdot24^4\cdot72^2}{16^{12}\cdot125^2\cdot94^4}\)
Câu 1 : \(1,321338308x10^{-4}\)
Câu 2 : \(1316,572106\)
Câu 3 : \(1,641302619x10^{-13}\)
Ủng hộ nhé,tớ đang âm.
\(B=\frac{5\cdot4^{15}\cdot9^9-4\cdot3^{20}\cdot8^9}{5\cdot2^9\cdot6^{19}-7\cdot2^{29}\cdot27^6}\)
Tính:
\(\frac{5\cdot4^{15}\cdot9^9-4\cdot3^{20}\cdot8^9}{5\cdot2^9\cdot6^{19}-7\cdot2^{29}\cdot27^6}\)
\(\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^9.6^{19}-7.2^{29}.27^6}\)=2