Giúp tôi làm bài này được chứ?
1. Tính giá trị của biểu thức: H = \(\frac{2^{19}.27^3.5-15.\left(-4\right)^9.9^4}{6^9.2^{10}-\left(-12\right)^{10}}\)
2. Cho A = \(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+...-\frac{1}{2016}+\frac{1}{2017}-\frac{1}{2018}\);
B = \(\frac{1}{1010}+\frac{1}{1011}+...+\frac{1}{2016}+\frac{1}{2017}+\frac{1}{2018}\)
Tính (A2017 \(-\) B2017)2018
2. Câu này có lần mình trả lời rồi, đây nhé.
Ta có:
\(A=1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+...-\frac{1}{2016}+\frac{1}{2017}-\frac{1}{2018}\)
\(B=\frac{1}{1010}+\frac{1}{1011}+...+\frac{1}{2016}+\frac{1}{2017}+\frac{1}{2018}\)
Tính \(\left(A^{2017}-B^{2017}\right)^{2018}\)
Cho S = \(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2017}-\frac{1}{2018}\)
P = \(1+\frac{1}{1010}+\frac{1}{1011}+...+\frac{1}{2018}\)
Chứng minh rằng: \(\left(S-P\right)^{2018}=1\)
a)\(\frac{x+1}{5}+\frac{x+1}{6}+\frac{x+1}{7}=\frac{x+1}{8}+\frac{x+1}{9}\)
b)\(\frac{x+6}{2015}+\frac{x+5}{2016}+\frac{x+4}{2017}=\frac{x+3}{2018}+\frac{x+2}{2019}+\frac{x+1}{2010}\)
c)\(\frac{x+6}{2016}+\frac{x+7}{2017}+\frac{x+8}{2018}=\frac{x+9}{2019}+\frac{x+10}{2020}+1\)
d)\(\frac{x-90}{10}+\frac{x-76}{12}+\frac{x-58}{14}+\frac{x-36}{16}+\frac{x-15}{17}=15\)
ai xong nhanh nhất và đúng em xin gửi 2 SP ạ
Tính P = \(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+....+\frac{1}{2019}}{\frac{2018}{1}+\frac{2017}{2}+\frac{2016}{3}+....\frac{1}{2018}}\)
\(\frac{\left(13\frac{1}{4}-2\frac{5}{27}-10\frac{5}{6}\right).230\frac{1}{25}+46\frac{3}{4}}{\left(1\frac{3}{7}+\frac{10}{3}\right):\left(12\frac{1}{3}-14\frac{2}{7}\right)}\)
Tính giá trị biểu thức :
\(H=\frac{2^{19}.27^3.5-15.\left(-4\right)^9.9^4}{6^9.2^{10}-\left(-12\right)^{10}}\)
Tính giá trị của biểu thức: \(A=\left(\frac{\frac{3}{7}+\frac{3}{11}-\frac{3}{13}}{\frac{5}{7}+\frac{5}{11}-\frac{5}{13}}+\frac{0.5+\frac{1}{3}-0.25}{\frac{5}{12}-\frac{5}{6}-\frac{5}{9}}\right):\frac{2016}{2017}\)
Tìm x khi biết x:☺
\(\left(\frac{x-4}{2017}\right)+\left(\frac{x-3}{2018}\right)+\left(\frac{x-2}{2019}\right)+\left(\frac{x-1}{2020}\right)=4\)
gip mik với mik cần gấppppppppppppppppp
a,\(\frac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}\)
b,\(\frac{27^2.8^5}{6^6.32^3}+\frac{3^4.4^4}{2^2.6^2}\)
c,\(\left(1+\frac{1}{1.3}\right)\)\(\left(1+\frac{1}{2.4}\right)\)\(\left(1+\frac{1}{3.5}\right)\)........\(\left(1+\frac{1}{20.22}\right)\)
d,\(\frac{3}{2}\)+\(\frac{7}{6}\)+\(\frac{13}{12}+\frac{21}{20}+.....+\frac{91}{90}\)
e,\(\left(-2^2\right)+\sqrt{36}-\sqrt{9}+\sqrt{25}\) 20).20)
