tính nhanh 3.5+5.3
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a: \(35\cdot20+125:5^2\)
\(=700+\frac{125}{25}\)
=700+5=705
b: \(5^2\cdot8-60:2^2\)
\(=25\cdot8-60:4\)
=200-15
=185
c: \(4500:15+3^4\cdot10\)
=300+81*10
=300+810
=1110
d: \(175-\left\lbrack3\cdot5^2-5\cdot3^2\right\rbrack\)
\(=175-\left(3\cdot25-5\cdot9\right)\)
=175-(75-45)
=175-30
=145
e: 555:5+\(256:16^2\)
=111+256:256
=111+1
=112
3.
a) 4.4.4.4.4 = 45
b) 3.3.3.5.5.5 = 33 . 53
4.
a) 35 . 34 = 39
b) 53 . 55 = 58
c) 22
Hk tốt
c, \(5^{x+4}-3\cdot5^{x+3}=2\cdot5^{11}\)
\(\Leftrightarrow5^{x+3}\cdot5-3\cdot5^{x+3}=2\cdot5^{11}\)
\(\Leftrightarrow5^{x+3}\left(5-3\right)=2\cdot5^{11}\)
\(\Leftrightarrow5^{x+3}\cdot2=2\cdot5^{11}\)
\(\Leftrightarrow5^{x+3}=5^{11}\)
\(\Leftrightarrow x+3=11\)
\(\Leftrightarrow x=8\)
Vậy x = 8
d, \(2^x+2^{x+1}+2^{x+2}+2^{x+3}+2^{x+4}+2^{x+5}=480\)
\(\Leftrightarrow2^x\left(1+2+2^2+2^3+2^4+2^5\right)=480\)
\(\Leftrightarrow2^x\cdot63=480\)
\(\Leftrightarrow2^x=\frac{160}{21}\)
\(\Leftrightarrow x\approx2,93\)
\(=\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+............+\frac{1}{2009}-\frac{1}{2011}=\frac{1}{1}-\frac{1}{2011}=\frac{2010}{2011}\)
sai rồi top scorer ạ tử trừ mẫu là 2 mà tử là 1 phải nhân 2 lên tử
a) \(3.5^2-16:2^2\)
\(=3.25-16.4\)
\(=75-64\)
\(=11\)
b) \(17.85+15.17-120\)
\(=17.\left(85+15\right)-120\)
\(=17.100-120\)
\(=1700-120\)
\(=1580\)
c) \(\left(3^{15}.4+5.3^{15}\right):3^{16}\)
\(=\left[3^{15}.\left(4+5\right)\right]:3^{16}\)
\(=\left[3^{15}.9\right]:3^{16}\)
\(=\left[3^{15}.3^2\right]:3^{16}\)
\(=3^{17}:3^{16}\)
\(=3\)
a. 3.52 - 24 : 22 = 3.52- 22 = 3.25-4= 75-4 =71
b. 17.(85+15) - 120 = 17.100-120=1700-120=1580
c. |315.(4+5)| :316= (315.9) : 316= 315.32 : 316= 317:316=3
dấu | là ngoặc vuông bn nhé
(72,69+18,47)-(8,47+22,69)=(72,69-22,69)+(18,47-8,47)
= 50 +10
=60
(72,69+18,47) - ( 8,47 + 22,69)
= ( 72,69 - 22,69) + ( 18,47 - 8, 47 )
= 50 +10
=60
8.8
3.5 + 5.3
= 5.(3+3)
= 5.6
= 30