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a.1253:254= 1253= ( 53)4=53.4=512
254=(52)4=52.5=510
\(\Rightarrow\)512>510
\(\Rightarrow\)1253>254
k mik nhé
\(\dfrac{4}{3}\cdot\dfrac{9}{8}\cdot\dfrac{16}{15}\cdot...\cdot\dfrac{400}{399}\)
\(=\dfrac{2\cdot2}{1\cdot3}\cdot\dfrac{3\cdot3}{2\cdot4}\cdot\dfrac{4\cdot4}{3\cdot5}\cdot...\cdot\dfrac{20\cdot20}{19\cdot21}\)
\(=\dfrac{2\cdot2\cdot3\cdot3\cdot4\cdot4\cdot...\cdot20\cdot20}{1\cdot3\cdot2\cdot4\cdot3\cdot5\cdot...\cdot19\cdot21}\)
\(=\dfrac{2\cdot3\cdot4\cdot...\cdot20}{1\cdot2\cdot3\cdot...\cdot19}\cdot\dfrac{2\cdot3\cdot4\cdot...\cdot20}{3\cdot4\cdot5\cdot...\cdot21}\)
\(=20\cdot\dfrac{2}{21}\)
\(=\dfrac{40}{21}\)
a, \(7^{2010}:7=7^{2009}\)
b, \(4^{20}:4^0=4^{20}\)
c, \(\frac{3^8.3^{15}}{3^7.3^{14}}=\frac{3^{23}}{3^{21}}=3^2\)
d, \(\frac{4^{16}.4^2}{4^{20}:4^2}=\frac{4^{18}}{4^{18}}=4^0\)
e, \(\frac{2^{15}:2^{10}}{2^{18}:2^{15}}=\frac{2^5}{2^3}=2^2\)
f, \(25^4:125=\left(5^2\right)^4:5^3=5^8:5^3=5^5\)
|-x - 5 | + 2 = 3
<=> | -x - 5| = 1
\(\Leftrightarrow\orbr{\begin{cases}-x-5=1\\-x-5=-1\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-6\\-4\end{cases}}}\)
\(a,A=\frac{-251489}{15750}\)
b,\(B=\frac{47}{12}\)
\(c,C=\frac{11}{25}\)
\(d,D=\frac{10}{39}\)
Câu 1:
MSC=60
7/10=7.6/10.6=42/60 5/-12=-5/12=-5.5/12.5=-25/60
Câu 2:
17/34=1/2; -12/22=-6/11; -25/35=-5/7; 125/75=5/3
Câu 3:
MSC=24
1/3=1.8/3.8=8/24 -3/8=-3.3/8.3=-9/24 17/24=17/24
1200000
học tốt nhé!