\(\dfrac{\left(-2\right)^3.3^3.5^3.7.8}{3.5^3.2^4.42}\)
= \(\dfrac{\left(-2\right).2^2.3^3.5^3.7.2^3}{3.5^3.2^4.2.3.7}\)
= \(\dfrac{\left(-2\right).2^5.3^3.5^3.7}{3^2.5^3.2^5.7}\)
= -6
Rút gọn phân số:
a) \(\dfrac{2929-101}{2.1149+404}\)
b) \(\dfrac{6.9-2.17}{63.3-119}\)
c) \(\dfrac{3.13-13.18}{15.40-80}\)
d) \(\dfrac{-1997-1996+1}{\left(-1995\right).\left(-1997\right)+1996}\)
e) \(\dfrac{2.3+4.6+14.21}{3.5+6.10+21.35}\)
g) \(\dfrac{\left(-5\right)^3.40.4^3}{135.\left(-3\right)^{14}.\left(-100\right)^0}\)
h) \(\dfrac{18.34+\left(-18\right).124}{-36.17+9.\left(52\right)}\)
j) \(\dfrac{9.11+32.9}{23.15+12.23}\)
k) \(\dfrac{12.13+24.26+36.39}{24.26+48.52+72.78}\)
Tính :
C = \(\left(1+\dfrac{1}{2.3}\right)\) \(\left(1+\dfrac{1}{2.4}\right)\) \(\left(1+\dfrac{1}{3.5}\right)\) .....\(\left(1+\dfrac{1}{2014.2016}\right)\)
\(B=\dfrac{\left(2^3.5^4.11\right).\left(2.5^2.11^2\right)}{\left(2^2.5^3.11\right)^2}\)
Tìm tích:A=\(\left(\dfrac{3}{429}-\dfrac{1}{1.3}\right).\left(\dfrac{3}{429}-\dfrac{1}{3.5}\right)........\left(\dfrac{3}{429}-\dfrac{1}{119121}\right)\)
GIẢI GIÙM MÌNH NHA
Tính:
A=\(\left(1+\dfrac{1}{1.3}\right).\left(1+\dfrac{1}{2.4}\right).\left(1+\dfrac{1}{3.5}\right)....\left(1+\dfrac{1}{2014.2016}\right)\)
Lưu ý: Dấu . là dấu nhân
Tìm x, biết : \(\dfrac{1}{1.3}+\dfrac{1}{3.5}+\dfrac{1}{5.7}+...+\dfrac{1}{x\left(x+1\right)}=\dfrac{1005}{2011}\)
Rút gọn phân số sau:
\(\dfrac{21.9}{7.6.-7.3}\)
\(\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{x\left(x+2\right)}=\frac{15}{45}\)
Tính tổng
S=\(\dfrac{2}{3.5}+\dfrac{2}{5.7}+\dfrac{2}{7.9}+...+\dfrac{2}{23.25}\)
