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Theo đề bài ra, ta có :
`A=1+32+34+36+....+32008`
\(\Rightarrow\) `9A = 3^2 + 3^4 + 3^6 + 3^8 + ... + 3^2010`
`9A - A=(32+34+36+38+....+ 32010)-(1+32+34+36+....+ 32008)`
\(\Rightarrow\) `8A=(-1)+32010`
\(\Rightarrow\) `8A-32010=(-1)`
@Nae
\(A=3^2+3^4+3^6+...+3^{20}-200n\)
\(=3^2\left(1+3^2\right)+3^6\left(1+3^2\right)+...+3^{18}\left(1+3^2\right)-200n\)
\(=10\left(3^2+3^6+...+3^{18}-20n\right)⋮10\)
a)\(\frac{15\times3^5}{27^3\times10^2}=\frac{5\times3^6}{3^9\times5\times20}=\frac{1}{3^3\times20}=\frac{1}{540}\)
b) đề thiếu
c) \(\frac{81^{14}\times3^{17}}{27^{10}\times9^{15}}=\frac{\left(9^2\right)^{14}\times3^{17}}{3^{10}\times9^{10}\times9^{15}}=\frac{9^{28}\times3^{17}}{3^{10}\times9^{25}}=\frac{9^3\times3^7}{1}=1594323\)
a)
\(15+27+9+85+73\)
\(=\left(15+85\right)+\left(27+73\right)+39\)
\(=200+39\)
\(=329\)
b)
\(54.36+54.27+54.37\)
\(=54\left(36+27+37\right)\)
\(=54.100\)
\(=5400\)
c)
\(168-3^7:3^4+2013^0\)
\(=168-3^3+1\)
\(=168-27+1\)
\(=142\)
d)
\(3^4.15+81.26+27.59.3\)
\(=81.15+81.26+81.59\)
\(=81.\left(15+26+59\right)\)
\(=81.100\)
\(=8100\)
Tính giá trị của các biểu thức sau :
a.15 + 27 + 39 + 85 + 73
= ( 15 + 85 ) + ( 27 + 73 ) + 39
= 100 + 100 + 39
= 200 + 39
= 239
b. 54 .36 + 54 . 27 + 54 . 37
= 54 . ( 36 + 27 + 37 )
= 54 . 100
= 5400
c.168 - 37 : 34 + 20130
= 168 - 33 + 1
= 168 - 27 + 1
= 141 + 1
= 142
đ. 34 . 15 + 81 . 26 + 27 . 59 . 3
= 34 . 15 + 34 . 26 + 34 . 59
= 34 . ( 15 + 26 + 59 )
= 81 . 100
= 8100
2,
a) \(315-\left(135-x\right)=215\)
\(\Rightarrow135-x=315-215\)
\(\Rightarrow135-x=100\)
\(\Rightarrow x=135-100\)
\(\Rightarrow x=35\)
b) \(x-320:32=25\cdot16\)
\(\Rightarrow x-10=5^2\cdot4^2\)
\(\Rightarrow x-10=20^2\)
\(\Rightarrow x-10=400\)
\(\Rightarrow x=410\)
c) \(3\cdot x-2018:2=23\)
\(=3\cdot x-1009=23\)
\(\Rightarrow3\cdot x=1032\)
\(\Rightarrow x=1032:3\)
\(\Rightarrow x=344\)
d) \(280-9\cdot x-x=80\)
\(\Rightarrow280-x\cdot\left(9+1\right)=80\)
\(\Rightarrow280-10\cdot x=80\)
\(\Rightarrow10\cdot x=280-80\)
\(\Rightarrow10\cdot x=200\)
\(\Rightarrow x=20\)
e) \(38\cdot x-12\cdot x-x\cdot16=40\)
\(\Rightarrow x\cdot\left(38-12-16\right)=40\)
\(\Rightarrow x\cdot10=40\)
\(\Rightarrow x=40:10\)
\(\Rightarrow x=4\)
a)73.(74-72)+72.(73-74)
=74.(73-73)+(72-72)
=74.0+0
=74
b)37.(25+27)-27.(37+25)
=37.52-27.62
=1924-1674
=250
tick cho mk nha bạn
\(\left|-34\right|+(-4)\cdot(-1)^{2008}+(17-19)^2\)
\(=34+4+(-2)^2\)
\(=34+4+4\)
\(=42\)
\((-31)\cdot81-18\cdot31-31\)
\(=31\cdot(-81)-18\cdot31-31\)
\(=31\cdot(-81)-18-1\)
\(=31\cdot(-100)=-3100\)
\(25\cdot16-12\cdot55\)
\(=400-660\)
\(=-260\)
\(---\)
\(930:15-320:5+196\)
\(=62-64+196\)
\(=-2+196\)
\(=194\)
\(---\)
\(4\cdot5^2-81:3^2\)
\(=4\cdot25-81:9\)
\(=100-9\)
\(=91\)
\(---\)
\(7^6:7^4+3^4:3^2-3^7:3^6\)
\(=7^2+3^2-3\)
\(=49+9-3\)
\(=58-3\)
\(=55\)
#\(Toru\)