\(=\dfrac{-1}{2}\cdot\dfrac{-2}{3}\cdot...\cdot\dfrac{-1998}{1999}=\dfrac{1}{1999}\)
Tính nhanh: \(\left(\dfrac{1}{2}-1\right)\left(\dfrac{1}{3}-1\right)\left(\dfrac{1}{4}-1\right)....\left(\dfrac{1}{1999}-1\right)\)
Tính nhanh: \(\left(\dfrac{1}{2}-1\right)\left(\dfrac{1}{3}-1\right)\left(\dfrac{1}{4}-1\right)....\left(\dfrac{1}{1999}-1\right)\)
HELP ME! Có thể giải chi tiết giúp e đc ko ạ?
Tính:
a/\(A=\left(-0,75-\dfrac{1}{4}\right):\left(-5\right)+\dfrac{1}{48}-\left(\dfrac{-1}{6}\right):\left(-3\right)\)
b/\(B=\left(\dfrac{6}{25}-1,24\right):\dfrac{3}{7}:\left[\left(3\dfrac{1}{2}-3\dfrac{2}{3}\right):\dfrac{1}{14}\right]\)
\(\left(3-x\right)^3=-\dfrac{27}{64};\left(x-5\right)^3=\dfrac{1}{-27};\left(x-\dfrac{1}{2}\right)^3=\dfrac{27}{8};\left(2x-1\right)^2=\dfrac{1}{4};\left(2-3x\right)^2=\dfrac{9}{4};\left(1-\dfrac{2}{3}\right)^2=\dfrac{4}{9}\)
( chỉ cần ghi đáp án thoi )
câu 1 : \(A=\left(1-\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)\left(1-\dfrac{1}{4}\right)....\left(1-\dfrac{1}{21}\right)\)
câu 2 : \(B=\left(1-\dfrac{1}{4}\right)\left(1-\dfrac{1}{9}\right)\left(1-\dfrac{1}{16}\right)...\left(1-\dfrac{1}{100}\right)\)
câu 3 : tìm a để \(\dfrac{a}{18}\), lớn hơn \(\dfrac{-5}{6}\)và nhỏ hơn \(\dfrac{-1}{2}\)
câu 4 : \(D=\left(\dfrac{1}{7}\right)^0+\left(\dfrac{1}{7}\right)^1+\left(\dfrac{1}{7}\right)^2+....+\left(\dfrac{1}{7}\right)^{2017}\)
câu 5 : \(E=-\dfrac{1}{3}+\dfrac{1}{3^2}-\dfrac{1}{3^3}+\dfrac{1}{3^4}-.....+\dfrac{1}{3^{50}}-\dfrac{1}{3^{51}}\)
câu 6 : \(F=\dfrac{1}{2}+\dfrac{2}{2^2}+\dfrac{3}{2^3}+\dfrac{4}{2^4}+\dfrac{5}{2^5}+...+\dfrac{100}{2^{100}}\)
câu 7 : rút gọn\(\dfrac{3}{5}+\dfrac{3}{5^4}+\dfrac{3}{5^7}+...+\dfrac{3}{5^{100}}=?\)
câu 8 : tính \(2^2+2^2+2^3+2^4+2^5+....+2^{49}+2^{50}\)
câu 9 : cho A = 1 + 3 +\(3^2+3^3+3^4+...+3^{100}\) khi đó stn 2.A+1=\(3^n\)
\(\left(\dfrac{-2}{3}\right)^2.x=\left(\dfrac{-2}{3}\right)^5\)
\(\left(x-\dfrac{1}{2}\right)^3=\dfrac{1}{27}\)
\(\left(\dfrac{2}{3}x-1\right)\left(\dfrac{3}{4}x+\dfrac{1}{2}\right)=0\)
\(\dfrac{4}{9}:x=3\dfrac{1}{3}:2,25\)
\(1\dfrac{1}{3}:0,8=\dfrac{2}{3}:0,1x\)
Tính
a) \(\dfrac{13}{50}.\left(-15.5\right):\dfrac{13}{50}.84\dfrac{1}{2}\)
b) \(\dfrac{\left(-0,7\right)^2.\left(-5\right)^3}{\left(-2\dfrac{1}{3}\right)^3.\left(1\dfrac{1}{2}\right)^4.\left(-1\right)^5}\)
-2/5 : \(1\dfrac{1}{3}\)- ( 1/2 )\(^2\)
\(\left(\dfrac{1}{2}-\dfrac{2}{3}+\dfrac{5}{6}\right).\left(\dfrac{-3}{2}\right)^2\)
\(\left(1+\dfrac{2}{3}-\dfrac{1}{4}\right).\left(\dfrac{4}{5}-\dfrac{3}{4}\right)^2\)
\(A=\left(1-\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)\left(1-\dfrac{1}{4}\right).....\left(1-\dfrac{1}{19}\right)\left(1-\dfrac{1}{20}\right)\)
So sinh A với \(\dfrac{1}{21}\)
Tính:
\(\left(-\dfrac{1}{2}\right)^2=.....\)
\(\left(-\dfrac{1}{2}\right)^3=......\)
\(\left(-\dfrac{1}{4}\right)^4=......\)
\(\left(-\dfrac{1}{2}\right)^5=......\)
