\(\frac{8^2.9^2}{6^4.8^2}=\frac{\left(2^3\right)^2.\left(3^2\right)^2}{\left(2.3\right)^4.\left(2^3\right)^2}=\frac{2^6.3^4}{2^4.3^4.2^6}=\frac{1}{2^4}=\frac{1}{16}\)
\(\frac{8^2.9^2}{6^4.8^2}=\frac{\left(2^3\right)^2.\left(3^2\right)^2}{\left(2.3\right)^4.\left(2^3\right)^2}=\frac{2^6.3^4}{2^4.3^4.2^6}=\frac{1}{2^4}=\frac{1}{16}\)
tính nhanh
a) -5/12+4/37+17/12-41/37
b) 1/2+-3/5:(-1/1/2)-|-2/5|
c)8^15 x 3^16/4^22 x 9^8
d)35/1/6:(-4/5)-45/1/6:(-4/5)
e) (5/12:10/3)+(1/2)^2
(x+2)/17+(x+4)/15+(x+6)/13=(x+8)/11+(x+10)/9+(x+12)/7
a)\(\dfrac{\dfrac{2}{3}-}{\dfrac{8}{3}-}\dfrac{\dfrac{2}{5}+}{\dfrac{8}{5}+}\dfrac{\dfrac{2}{7}-}{\dfrac{8}{7}-}\dfrac{\dfrac{2}{9}+}{\dfrac{8}{9}+}\dfrac{\dfrac{2}{11}}{\dfrac{8}{11}}\)
b)\(\left(\dfrac{1}{2}-1\right)\left(\dfrac{1}{3}-1\right)\left(\dfrac{1}{4}-1\right)...\left(\dfrac{1}{50}-1\right)\left(\dfrac{1}{51}-1\right)\)
rút gọn biểu thức sau
M= |2x-3|+|x-1| với x >1,5
N= |2-x|-3.|x+1| với x < -1
tìm x, biết
1. -11/2x + 1= 1/3x - 1/4
2. 2x- 2/3 - 7x = 3/2 - 1
3. 3/2x - 2/5 = 1/3x - 1/4
4. 2/3 - 5/3x= 7/10x + 5/6
5. 2x -1/4 = 5/6 - 1/2x
6. 3x - 5/3 = x - 1/4
7. - 5/6 + 3x = 2/3 - 1/2x
8. 1/2 ( x + 2 ) - 4( x - 1/4 ) = 1/2x
9. 5/2( x - 3/5 ) - 1/10 = x-3
10. -4/3( x - 1/4 ) = 3/2( 2x - 1 )
Giúp mk với !!!
Tính bằng cách hợp lí nhất :
1/ \(\left(\frac{4}{9}-\frac{5}{11}\right):\frac{3}{10}+\left(\frac{3}{9}-\frac{9}{11}\right):\frac{3}{10}-\left(\frac{2}{9}-\frac{2}{8}\right).\frac{-10}{3}\)
2/ \(\frac{1}{2}.\frac{1}{-3}+\frac{1}{-3}.\frac{1}{4}+\frac{1}{4}.\frac{1}{-5}+\frac{1}{-5}.\frac{1}{6}\)
3/ \(-\frac{7}{4}\left(\frac{33}{12}+\frac{3333}{2020}+\frac{333333}{303030}+\frac{33333333}{42424242}\right)\)
tính
\(\left(45\dfrac{1}{2}-2\dfrac{3}{8}\right)\) x \(\left(5\dfrac{5}{6}+6\dfrac{3}{4}\right)\)+ \(\left(10\dfrac{2}{3}-5\dfrac{5}{8}\right)\)
1. Ta có thể viết số hữu tỉ \(\frac{-5}{16}\) dưới các dạng sau đây :
a) \(\frac{-5}{16}\) là tích của hai số hữu tỉ. Ví dụ : \(\frac{-5}{16}\) = \(\frac{-5}{2}\).\(\frac{1}{8}\)
b) \(\frac{-5}{16}\) là thương của hai số hữu tỉ. Ví dụ: \(\frac{-5}{16}\) = \(\frac{-5}{2}\):8
2. Tính:
a) \(\frac{-3}{4}.\frac{12}{-5}.\)\(\left(-\frac{25}{6}\right)\)
b) (\(-2\)).\(\frac{-38}{21}.\frac{-7}{4}.\left(-\frac{3}{8}\right)\)
c) \(\left(\frac{11}{12}:\frac{33}{16}\right).\frac{3}{5}\)
d) \(\frac{7}{23}.\left[\left(-\frac{8}{6}\right)-\frac{45}{18}\right]\)
3. Tính:
a) \(\left(\frac{-2}{3}+\frac{3}{7}\right):\frac{4}{5}+\left(\frac{-1}{3}+\frac{4}{7}\right):\frac{4}{5}\)
b) \(\frac{5}{9}:\left(\frac{1}{11}-\frac{5}{22}\right)+\frac{5}{9}:\left(\frac{1}{15}-\frac{2}{3}\right)\)
Tính \(3\dfrac{17}{24}\)+\(\left(2\dfrac{8}{15}-4\dfrac{8}{15}\right):\left(2\dfrac{11}{30}-\dfrac{11}{30}\right)\)
\(0,5:\sqrt{625}-\sqrt{\dfrac{4}{25}}+0.18\left(\sqrt{1\dfrac{9}{16}}-\sqrt{\dfrac{9}{16}}\right)\)