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\(a,11^8:11^3=11^{8-3}=11^5\)
\(b,17^{11}:17^9=17^{11-9}=17^2\)
\(c,4^3:2^2=4^{3-1}=4^2\)
\(d,a^5:a=a^{5-1}=a^4\)
a,\(\left(25^{11}.5^9\right):\left(5^{46}.625\right)\)
\(=\left(5^{42}.5^9\right):\left(5^{46}.5^4\right)\)
\(=5^{51}:5^{50}=5\)
b,\(\left(3^{2011}+3^{2009}\right):3^{2000}:9^4\)
\(=\left(3^{2009}.\left(3^2+1\right)\right):3^{2000}:3^8\)
\(=3^{2009}.10:3^{2008}\)
\(=3.10=30\)
a) 118 : 113 = 115
b) 1711 :179 = 172
c) 43 : 22 = ( 22 ) 3 : 22 = = 24
d) a5 : a = a4 ( a khác 0)
118 : 113 = 115
1711 :179 = 172
43 : 22 = ( 22 ) 3 : 22 = 26 : 22 = 24
a5 : a = a4
1) 279 : 81 = (33)9 : 34 = 327 : 34 = 323
2) a) = 170.3 + 154 : 14 = 510 + 11 = 521
b) = 136.(25 + 75) - 72 = 13600 - 49 = 13 551
c) = (2.5)3 - [(7.2)3 - 25.(64: 8 + 121 : 121 - 2.2)] = 1000 - [2744 - 25.(8 + 1 - 4)] = 1000 - 2619 = 1619
2. a) 118 : 113 = 115 c) 43 : 42 = 41
b) 1711 : 179 = 172 d) a5 : a = a4
3. a) 36 : 34 = C1 : 3 . 3 . 3 . 3 . 3 . 3 : 3 . 3 . 3 . 3
= 9
C2 : 36 : 34
= 36-4
= 32
b) 57 : 55 = C1 : 5 . 5 . 5 . 5 . 5 . 5 . 5 : 5 . 5 . 5 . 5 . 5
= 25
C2 : 57 : 55
= 57-5
= 52
4. 356 = 3 . 100 + 5 . 10 + 6 = 3 . 102 + 5 . 10 + 6 . 100
3243 = 3 . 1000 + 2 . 100 + 4 . 10 + 3 = 3 . 103 + 2 . 102 + 4 . 10 + 3 . 100
abbc = a . 1000 + b . 100 + b . 10 + c = 4 . 103 + b . 102 + b . 10 + c . 100
xong rồi đó. mệt lắm
a) 160 - ( 23 . 52 - 6 . 25 ) = 160-( 8 . 25 - 6 . 25 ) = 160 - ( 25 . ( 8-6)) = 160-(25 . 2) = 160- 50 = 110
b) 4 . 52 - 32 : 24 = 4 . 25 - 4 . 8 : 16 = 4 . ( 25 - 8 : 16 ) = 4 . 24,5 = 98
\(4^2-2^2.3+8.5^0\)
\(=16-4.3+8.1\)
\(=12\)
\(5^4.\left[8^2:4^2.\left(2^3+10^0\right)\right]\)
\(=625.\left[64:16.\left(8+1\right)\right]\)
\(=625.\left(64:16.9\right)\)
\(=22500\)
\(11^2.5^3-11^2.25\)
\(=11^2.\left(5^3-25\right)\)
\(=121.\left(125-25\right)\)
\(=12100\)
học tốt
a) (3x +5)3 =121.(-11)
(3x +5)3 = -113
3x + 5 = -11
3x = -11 - 5
x = \(-\frac{16}{3}\)
b) 3.|2x +1| - 10= |-11|
3.|2x+1| = 11 + 10
|2x+1| = 7
\(\Rightarrow\orbr{\begin{cases}2x+1=7\\2x+1=-7\end{cases}\Rightarrow\orbr{\begin{cases}x=3\\x=-4\end{cases}}}\)
c) 100-(x -5)2 = (-6)2
(x-5)2 = 82
x-5 = 8
x = 13
\(\left(3x+5\right)^3=121\left(-11\right)\)
\(\Rightarrow\left(3x+5\right)^3=-1331=\left(-11\right)^3\)
\(\Rightarrow3x+5=-11\)
\(\Rightarrow3x=-16\)
\(\Rightarrow x=-\frac{16}{3}\)
\(3\left|2x+1\right|-10=\left|-11\right|\)
\(\Rightarrow\left|2x+1\right|=7\)
\(\Leftrightarrow\orbr{\begin{cases}2x+1=7\\2x+1=-7\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=3\\x=-4\end{cases}}\)
\(100-\left(x-5\right)^2=\left(-6\right)^2\)
\(\Rightarrow\left(x-5\right)^2=64=\left(\pm8\right)^2\)
\(\Leftrightarrow\orbr{\begin{cases}x-5=8\\x-5=-8\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=13\\x=-3\end{cases}}\)
`(11^6 : 11^5) (11^0 . 11)`
`=` \(11^{6-5}.1.11\)
`= 11 . 11 = 121`
Chọn `C`