Tính :
1) C = \(\left(\dfrac{1}{200^2}-1\right)\left(\dfrac{1}{199^2}-1\right)...\left(\dfrac{1}{101^2}-1\right)\)
2) \(D=\dfrac{1}{1-\dfrac{1}{1-2^{-1}}}+\dfrac{1}{1+\dfrac{1}{1+2^{-1}}}\)
Tìm x biết
a) \(\dfrac{-2}{5}+\dfrac{5}{3}\left(\dfrac{3}{2}-\dfrac{4}{15}x\right)=\dfrac{-7}{6}\)
b) \(\left(\dfrac{1}{4}x-1\right)+\left(\dfrac{2}{3}x-2\right)-\left(\dfrac{5}{8}x+1\right)=5\)
Ai nhanh 3 tick nha
tìm x biết: \(\left|x+\dfrac{1}{101}\right|+\left|x+\dfrac{2}{101}\right|+....+\left|x+\dfrac{100}{101}\right|=101x\)
Thực hiện các phép tính sau
a) \(2^3+3.\left(\dfrac{2}{3}\right)^0-2^{-2}+\left[\left(-2\right)^2:\dfrac{1}{2}\right]-8\)
b) \(\left(\dfrac{1}{3}\right)^{-1}-\left(-\dfrac{6}{7}\right)^0+\left(\dfrac{1}{2}\right)^2:2\)
Nhanh nha mai mình đi học
Giá trị biểu thức :
\(\dfrac{1}{2}+\left(\dfrac{1}{2}\right)^2+\left(\dfrac{1}{2}\right)^3+\left(\dfrac{1}{2}\right)^4+....+\left(\dfrac{1}{2}\right)^{20}\) Là :
A \(\dfrac{2^{20}-1}{2^{20}}\) B.\(\dfrac{1}{2}-\dfrac{1}{2^{20}}\)
C . 1 D . \(\dfrac{2^{20}-2}{2^{20}}\)
- Ghi cách giải nữa nha!
\(\left|x+1\right|+\left|x+2\right|+....+\left|x+101\right|=2024x\)
tính
a)\(\left(1-\frac{1}{1+2}\right).\left(1-\frac{1}{1+2+3}\right).\left(1-\frac{1}{1+2+3+4}\right).....\left(1-\frac{1}{1+2+3+...+20}\right)\)
b)\(\frac{\left(1+2+3+...+100\right).\left(12.3,4-6,86\right)}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6}}\)
c)(18.123+9.436.2+3.5310.6):1+4+7+...+100-410)
giúp mk vs mai mk kiểm tra rồi . ai đúng mk tick nha
So Sánh : \(\left(\dfrac{1}{16}\right)^{200}\)và\(\left(\dfrac{1}{2}\right)^{1000}\)
1. Tìm x, biết:
a) \(\left|x-1\right|+\left|x-4\right|=5\)
b) \(3\left|x+4\right|+\left|x-5\right|=10\)
c) \(\left|x+3\right|+\left|2x+1\right|=3x-6-\left|x+1\right|\)
d) \(\left|x\right|-\left|2x+3\right|=\left|x-1\right|\)
e) \(\left|x+1\right|+\left|2x-3\right|=\left|3x-2\right|\)
f) \(\left|x+2\right|+\left|x+\dfrac{3}{5}\right|=10x-\left|x+\dfrac{1}{2}\right|\)
g) \(\left|x+3\right|+\left|x+1\right|=3x\)
h) \(\left|x-1\right|+\left|x-3\right|< x+1\)
i) \(\left|x+\dfrac{1}{1.3}\right|+\left|x+\dfrac{1}{3.5}\right|+...+\left|x+\dfrac{1}{97.99}\right|=50x\)
j) \(\left|3x-5\right|+\left|3x+1\right|=6\)
(Ai làm đc bài nào thì làm nha)