(3/4+2/8)x17/18
3/2x5/8-1/2x5/8
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a: \(\frac{4^5\cdot10\cdot5^6+25^5\cdot2^8}{2^8\cdot5^4+5^7\cdot2^5}\)
\(=\frac{2^{10}\cdot2\cdot5\cdot5^6+5^{10}\cdot2^8}{2^8\cdot5^4+5^7\cdot2^5}=\frac{2^8\cdot5^7\left(2^3+3^3\right)}{2^5\cdot5^4\left(2^3+3^3\right)}\)
\(=2^3\cdot5^3=10^3=1000\)
b: \(149-\left(35:x+3\right)\cdot17=13\)
=>\(\left(35:x+3\right)\cdot17=149-13=136\)
=>35:x+3=136:17=8
=>35:x=8-3=5
=>\(x=\frac{35}{5}=7\)
c: \(121:11-\left(4x+5:3\right)=4\)
=>11-(4x+5/3)=4
=>4x+5/3=11-4=7
=>\(4x=7-\frac53=\frac{21}{3}-\frac53=\frac{16}{3}\)
=>\(x=\frac{16}{3}:4=\frac43\)
d: \(720:\left\lbrack41-\left(2x-5\right)\right\rbrack=40\)
=>\(41-\left(2x-5\right)=\frac{720}{40}=18\)
=>2x-5=41-18=23
=>2x=28
=>\(x=\frac{28}{2}=14\)
e: Sửa đề: (x+1)+(x+2)+(x+3)+...+(x+100)=5700
=>100x+(1+2+3+...+100)=5700
=>\(100x+100\cdot\frac{101}{2}=5700\)
=>x+50,5=57
=>x=57-50,5
=>x=6,5
6 x5/3=10 7:8/4+1/3=23/6 2x5/8-1/2=3/4 3/7:5/6x1/4=9/70
28=256
2x53=2x125=250
Vì 256 > 250
Nên 28 > 2x53
\(=0.04\cdot5-\dfrac{2^6\cdot3^{10}}{3^9\cdot2^6}=0.2-3=-2.8\)
\(\Leftrightarrow220+16+x-5=64.5=320\\ \Leftrightarrow231+x=320\\ \Leftrightarrow x=89\)
\(\left(\dfrac{3}{4}+\dfrac{2}{8}\right)\times\dfrac{17}{18}=\left(\dfrac{3}{4}+\dfrac{1}{4}\right)\times\dfrac{17}{18}=\dfrac{17}{18}\)
\(\dfrac{3}{2}\times\dfrac{5}{8}-\dfrac{1}{2}\times\dfrac{5}{8}=\dfrac{5}{8}\times\left(\dfrac{3}{2}-\dfrac{1}{2}\right)=\dfrac{5}{8}\times\dfrac{2}{2}=\dfrac{5}{8}\)