Bài làm:
Ta có: \(\frac{12^6.5^2-2^{10}.3^5.5^2}{12^6.10-2^{12}.3^8}\)
\(=\frac{2^{12}.3^6.5^2-2^{10}.3^5.5^2}{2^{13}.3^6.5-2^{12}.3^8}\)
\(=\frac{2^{10}.3^5.5^2.\left(2^2.3-1\right)}{2^{12}.3^6.\left(2.5-3^2\right)}\)
\(=\frac{5^2.11}{2^2.3}=\frac{275}{12}\)
Bài 1: tìm giá trị biểu thức:
\(\frac{12^4.\left(-10\right)^2}{3^4.4^5.5^2}\)
Bài 2: rút gọn:
\(A=\frac{1+3^4+3^8+3^{12}}{1+3^2+3^4+3^6+3^8+3^{10}+3^{12}+3^{14}}\)
thực hiện phép tính
A=\(\frac{2^{12}.3^4-4^5.9^2}{\left(2^2.3\right)^6+8^4.3^5}\)
B=\(\frac{8^5.5^8-2^5.10^9}{2^{16}.5^7+20^8}\)
C=\(\frac{4^5.9^4-2.6^4}{2^{10}.3^8+6^8.2^0}\)
a,(100.5^7+5^11:25):(5.5^13:25^2)
b,(3^12+3^11):3^10
c,(2^43+2^4):(2^20+1)
d,(2^22+2^24+2^25):(2^18+2^19+2^20)
e,7.3^9+3^10+51.3^8
Thực hiện phép tính
a) \(\left(\frac{-1}{6}+\frac{5}{-12}\right)+\frac{7}{12}\)
b) \(\frac{7}{36}-\frac{8}{-9}+\frac{-2}{3}\)
c)\(\frac{3}{5}-\frac{2}{5}\cdot\frac{10}{12}\)
d)\(\frac{2}{(-3)^2}+\frac{5}{-12}-\frac{-3}{4}\)
Tính \(A=\frac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}+\frac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{12}}\)
giúp mình vs các bạn ơi
Bài: Rút gọn phân số
a) \(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}\) c)\(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}\)
b)\(\frac{-11^5.13^7}{11^5.13^8}\) d)\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}\)
Tính giá trị của các biểu thức sau một cách hợp lý:
a)A=\(\frac{3^{10}.11+3^{10}.5}{3^9.2^4+2^{10}.13}+\frac{2^{10}.13+2^{10}.65}{2^8.104}\)
b)B=\(\frac{12-\frac{12}{7}-\frac{12}{289}-\frac{12}{85}}{4-\frac{4}{7}-\frac{4}{289}-\frac{4}{85}}:\frac{3+\frac{3}{13}+\frac{3}{169}+\frac{3}{91}}{7+\frac{7}{13}+\frac{7}{169}+\frac{7}{91}}\)
So sánh :
A = \(\frac{1+2+3+4+5+6}{7+8+9+10+11+12}\) ; B = \(\frac{1+2+3+4+5+6+7}{7+8+9+10+11+12+13}\)
Tính
a)\(\frac{2^{12}.13+2^{12}.65}{2^{10}.104}+\frac{3^{10}.11+3^{10}.5}{3^9.2^4}\)
b)\(\frac{1.5.6+2.10.12+4.20.24+9.45.54}{1.3.5+2.6.10+4.12.20+9.27.45}\)
c)\(1+2-3-4+5+6-7-8+.....+2009+2010-2011-2012+2013\)
