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a: =-5/6-3/7=-35/42-18/42=-53/42
b: =2/5-4/9=18/45-20/45=-2/45
c: =-24/35
d: =2/3x-5/4=-10/12=-5/6
ta có: \(S=1+1\times2+2\times3+3\times4+...+38\times39+39\times40+40\)
\(\Rightarrow3S=1\times3+1\times2\times3+2\times3\times3+...+39\times40\times3+40\times3\)
\(3S=3+1\times2\times\left(3-0\right)+2\times3\times\left(4-1\right)+...+39\times40\times\left(41-38\right)+120\)
\(3S=3+1\times2\times3+2\times3\times4-1\times2\times3+...+39\times40\times41-38\times39\times40+120\)
\(3S=\left(3+1.2.3+...+39.40.41+120\right)-\left(1.2.3+...+38.38.40\right)\)
\(3S=3+39.40.41+120\)
\(\Rightarrow S=\left(3+39.40.41+120\right):3\)
\(S=21361\)
\(\left(\frac{2}{3}x-\frac{1}{2}\right).\frac{3}{4}-\frac{2}{5}x=\frac{17}{4}\)
\(< =>\frac{x2}{3}.\frac{3}{4}-\frac{1}{2}.\frac{3}{4}-\frac{2x}{5}=\frac{17}{4}\)
\(< =>\frac{x}{10}-\frac{3}{8}=\frac{17}{4}\)
\(< =>\frac{8x}{80}-\frac{30}{80}=\frac{340}{80}\)
\(< =>8x=340+30=370\)
\(< =>x=\frac{370}{8}=\frac{185}{4}\)
nghiệm khá xấu
a: =14/13-1/13-19/20=1-19/20=1/20
b: =-24/17+7/17+1/16=-1+1/16=-15/16
\(25.\left(x+3\right)=250\)
\(x+3=250:25\)
\(x+3=10\)
\(x=10-3\)
\(\Rightarrow x=7\)
a)Ta có: \(5^{36}=5^{3.12}=\left(5^3\right)^{12}=125^{12}\)
\(11^{24}=11^{2.12}=\left(11^2\right)^{12}=121^{12}\)
Vì \(125>121\Rightarrow125^{12}>121^{12}\)
\(\Rightarrow5^{36}>11^{24}\)
b) Ta có: \(625^5=\left(5^4\right)^5=5^{20}\)
\(125^7=\left(5^3\right)^7=5^{21}\)
Vì \(20< 21\Rightarrow5^{20}< 5^{21}\)
\(\Rightarrow625^5< 125^7\)
c) Ta có: \(3^{2n}=\left(3^2\right)^n=9^n\)
\(2^{3n}=\left(2^3\right)^n=8^n\)
Vì \(9>8\Rightarrow9^n>8^n\)( do \(n>0\))
\(\Rightarrow3^{2n}>2^{3n}\)
d)Ta có: \(5^{23}=5.5^{22}< 6.5^{22}\)
\(\Rightarrow5^{23}< 6.5^{22}\)
a. 5^36=(5^3)^12
=125^12
11^24=(11^2)^12
= 121^12
Vì 125^12>121^12 nên 5^36>11^24
b. Ta có: 625^5 =(5^4)^5
= 5^20
125^7=(5^3)^7
= 5^21
Vì 5^20<5^21 nên 625^5<125^7
D
D