\(A=1+2+2^2+2^3+2^4+...+2^{49}\)
\(2A=2+2^2+2^3+2^4+..+2^{50}\)
\(2A-A=\left(2+2^2+2^3+2^2+...+2^{50}\right)-\left(1+2+2^2+2^3+...+2^{49}\right)\)
\(\Rightarrow A=2^{50}-1\)
Tính nhanh
a) \(2\times14\times12+4\times6\times21+8\times3\times62\)
b) \(37\times24+76\times37+63\times79+21\times63\)
c) \(3\times21\times2\times6+4\times6\times42+8\times27\times3\)
Tìm x biết :
\(2\times3^x=10\times3^{12}+8\times27^4\)
\(\orbr{\frac{2^{10}\times3^8+6^8\times20}{2\times6^9-4^5\times9^4}}\)
Tính
\(1\times2\times3\times.........\times9-1\times2\times3\times...........\times8-1\times2\times3\times........8^2\)
Giúp mình nhé ai nhanh nhất mình tick
M=\(\frac{9^4\times27^5\times3^6\times3^4}{3^8\times81^4\times243\times8^2}\)
N=4\(\frac{4^6\times9^5\times6^9\times120}{8^4\times3^{12}-6^{11}}\)
a. \(\frac{3^2\times64^2-12^2\times16^2\times19+51\times33}{3+6+9+...+96+99}\)
b. \(\frac{6^3\times9^7\times4^3-16^2\times81^4}{\left(24\times3\right)^2}\)
c. \(\frac{21\times5^{21}\times5^8-25^{13}}{\left(4\times5^{14}\right)^2}\)
d. \(\frac{81^4\times3^{10}\times27^5\div3^{12}}{9^9\div9^3\times243^3}\)
e. \(\frac{18^6\div2^{11}\div9^3\times4^3}{32^2\div6^9\times3^6}\)
tính
a, \(1\times2\times3\times...\times2018-1\times2\times3\times...\times2017^2\)
b,\(1500-\left\{5^2\times2^3-11\times\left[7^2-5\times2^3+8\times\left(11^2-121\right)\right]\right\}\)
M=\(\frac{9^4\times27^5\times3^6\times3^4}{3^8\times81^4\times243\times8^2}\)
a,\(\frac{3^{10}\times(-5)^{21}}{\left(-5\right)^{20}\times3^{12}}\)
b,\(\frac{\left(-11\right)^5\times13^7}{11^5\times13^8}\)
c,\(\frac{2^{10}\times3^{10}-2^{10}\times3^9}{2^9\times3^{10}}\)
d,\(\frac{5^{11}\times7^{12}+5^{11}\times7^{11}}{5^{12}\times7^{12}+9\times5^{11}\times7^{11}}\)
Bài trên là bài rút gon phân số
