\(=\dfrac{2^{12}\cdot3^{10}+2^{12}\cdot3^{10}\cdot5}{2^{12}\cdot3^{12}-2^{11}\cdot3^{11}}=\dfrac{2^{12}\cdot3^{10}\cdot6}{2^{11}\cdot3^{11}\cdot\left(2\cdot3-1\right)}\)
\(=\dfrac{2}{3}\cdot\dfrac{6}{5}=\dfrac{12}{15}=\dfrac{4}{5}\)
\(\dfrac{4^6.9^5+6^9.120}{8^4.3^2-6^{11}}\)
\(\dfrac{4^6.9^5+6^9.120}{8^4.3^2-6^{11}}\)
Rút gọn biểu thức: B=\(\frac{4^6.9^5+6^9.120}{8^4.3^{12}+6^{11}}\)
2. Rút gọn:
A=\(\frac{2^{10}.13+2^{10}.65}{2^8.104}\)
B=\(\frac{4^6.9^5.6^9.120}{8^4.3^{12}+6^{11}}\)
Tính:
A=\(\dfrac{4^2.25^2+32.125}{2^3.5^2}\)
B=\(\dfrac{4^6.9^5+6^4.120}{8^4.3^{12}-6^{11}}\)
Tính :
A=\(\dfrac{4^2.25^2+32.125}{2^3.5^2}\)
B=\(\dfrac{4^6.9^5+6^4.120}{8^4.3^{12}-6^{11}}\)
1. Thực hiện phép tính :
a) \(\dfrac{20^5.5^{10}}{100^5}\)
b) \(\dfrac{49^6,5-7^{11}}{\left(-7\right)^{10}.5-2.49^5}\)
c) \(\dfrac{6^3+3.6^2+3^3}{-13}\)
d) \(\dfrac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
e) A = \(1-\dfrac{1}{2}-\dfrac{1}{2^2}-\dfrac{1}{2^3}-...-\dfrac{1}{2^{10}}\)
2. Cho các biểu thức :
A = 3 + 32 + 33 + 34+... + 336
a) C/minh A chia hết cho 4
b) C/minh A chia hết cho 13
c) C/minh A chia hết cho 52
Bài 1: Tính nhanh
a) \(\left(2017^1\right)^{2.4.6.8....2016}\)
b) \(2017^{\left(225-1^2\right).\left(225-2^2\right).\left(225-3^2\right)....\left(225-56^2\right)}\)
Bài 2: Tính
A = \(\dfrac{2.5^{22}-9.5^{21}}{25^{10}}\): \(\dfrac{5.\left(3.7^{15}-19.7^{14}\right)}{7^{16}+3.7^{15}}\)
B = \(\dfrac{4^6.9^5+6^9.1^{20}}{-8^4.3^{12}-6^{11}}\)
C = \(\dfrac{6^3+3.6^2+3^3}{-27}\)
D = \(\dfrac{1}{1-\dfrac{1}{1-2^{-1}}}\)+ \(\dfrac{1}{1+\dfrac{1}{1+2^{-1}}}\)
M = \(2^{10}-2^9-2^8-2^7-....-1\)
Giúp mk với. Mk cần gấp 
\(M=\dfrac{4^6\cdot9^5+6^9\cdot120}{-6^{11}-8^4\cdot3^{12}}\)
