A= \(\dfrac{-5}{13}\) x \(\dfrac{-4}{13}\) x \(\dfrac{-3}{13}\) x......x \(\dfrac{4}{13}\) x \(\dfrac{5}{13}\)
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
A = \(5\dfrac{17}{39}+\left(4\dfrac{2}{85}-3\dfrac{2}{45}\right)-\left(13\dfrac{19}{85}-\dfrac{11}{45}+\dfrac{4}{39}\right)\)
Tính nhanh giá trị của biểu thức
P =\(\dfrac{0,75-0,6+\dfrac{3}{7}+\dfrac{3}{13}}{2,75-2,2+\dfrac{11}{7}+\dfrac{11}{3}}=\dfrac{\dfrac{3}{4}-\dfrac{3}{5}+\dfrac{3}{7}+\dfrac{3}{13}}{\dfrac{11}{4}-\dfrac{11}{5}+\dfrac{11}{7}+\dfrac{11}{13}}\)
Tính nhanh
\(\dfrac{\dfrac{1}{3}-\dfrac{1}{7}-\dfrac{1}{13}}{\dfrac{2}{3}-\dfrac{2}{7}-\dfrac{2}{13}}.\dfrac{\dfrac{3}{4}-\dfrac{3}{16}-\dfrac{3}{64}-\dfrac{3}{264}}{1-\dfrac{1}{4}-\dfrac{1}{16}-\dfrac{1}{64}}+\dfrac{5}{8}\)
Tính nhanh :
\(A=\left(-\dfrac{5}{7}+\dfrac{8}{5}\right):\dfrac{91}{8}+\left(-\dfrac{2}{7}-\dfrac{3}{5}\right):\dfrac{91}{8}\)
\(B=\dfrac{13}{15}:\left(\dfrac{4}{5}-\dfrac{3}{7}\right)+\dfrac{13}{15}:\left(\dfrac{2}{5}-\dfrac{1}{9}\right)\)
(Gíup mình với )
Tìm x, biết:
a) \(\dfrac{11}{13}-\left(\dfrac{5}{42}-x\right)=-\left(\dfrac{15}{28}-\dfrac{11}{13}\right)\)
b) \(2x.\left(x-\dfrac{1}{7}\right)=0\)
c) \(\dfrac{3}{4}+\dfrac{1}{4}:x=\dfrac{2}{5}\)
BT1: Tính nhanh:
4) \(A=-\dfrac{3}{20}-\dfrac{3}{200}-\dfrac{3}{2000}-\dfrac{3}{20000}\)
A = \(\dfrac{0.5-0.4+\dfrac{2}{7}+\dfrac{2}{13}}{4.25-3.4+\dfrac{17}{7}+1\dfrac{4}{13}}\)