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\(3^3.18-3^3.12=3^3.2.3^2-3^3.2^2.3=3^5.2-3^4.2^2=3^4.2.\left(3-2\right)=3^4.2=162\\ \)
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A = 23 . 19 - 23 . 14 + 12018
= 23.(19 - 14) + 1
= 8 . 5 + 1
= 40 + 1 = 41
B = 102 - [60 : (56 : 54 - 3. 5)]
= 100 - [60 : (10 - 15)]
= 100 - [60 : (-5)]
= 100 + 12
= 112
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(3^2+2^3).x+4^2.2.x=98
(9+8).x+16.2.x=98
17.x+16.2.x=98
17.x+32.x=98
(17+32).x=98
49.x=98
x=98:49
x=2
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a: \(A=25+125=150\)
b: \(B=16+64=80\)
c: \(C=32+9+1=33+9=42\)
d: \(D=1+8+27=35+1=36\)
g: \(K=11\cdot3^{29}-\dfrac{3^{30}}{4\cdot3^{28}}=11\cdot3^{29}-\dfrac{9}{4}\)
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a) 42 . 121 - 42 . 22 + 42
= 42 . 121 - 42 . 22 + 42 . 1
= 42 . ( 121 - 22 + 1 )
= 42 . 100
= 16 . 100
= 1600
b) 600 - 400 : [ 118 . 2 - ( 50 . 3 - 9 . 16 )2 ]
= 600 - 400 : [ 118 . 2 - ( 150 - 144 )2 ]
= 600 - 400 : ( 118 . 2 - 62 )
= 600 - 400 : ( 236 - 36 )
= 600 - 400 : 200
= 600 - 2
= 598
c) |- 15 + 10|+|( - 48 ) + ( - 22 )|+ ( - 100 )
= |- 5|+|- 70|+ ( - 100 )
= 5 + 70 + ( - 100 )
= 75 + ( - 100 )
= - 25
d) 52 - ( - 8 ) -|- 17|
= 25 - ( - 8 ) - 17
= 25 + 8 - 17
= 33 - 17
= 16
Tick cho mình nhé!!!
Chúc bạn học tốt!!!
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a) \(2^2+2^3+2^4+2^5\)
\(=\left(2^2+2^3\right)+\left(2^4+2^5\right)\)
\(=2^2\left(1+2\right)+2^4\left(1+2\right)\)
\(=2^2.3+2^4.3\)
\(=3\left(2^2+2^4\right)⋮3\)
b) \(4^{20}+4^{21}+4^{22}+4^{23}\)
\(=\left(4^{20}+4^{21}\right)+\left(4^{22}+4^{23}\right)\)
\(=4^{20}\left(1+4\right)+4^{22}\left(1+4\right)\)
\(=4^{20}.5+4^{22}.5\)
\(=5\left(4^{20}+4^{22}\right)⋮5\)
a)
2
2
+
2
3
+
2
4
+
2
5
2
2
+2
3
+2
4
+2
5
=
(
2
2
+
2
3
)
+
(
2
4
+
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5
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=(2
2
+2
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)+(2
4
+2
5
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=
2
2
(
1
+
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.
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4
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=
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(
2
2
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4
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⋮
3
=3(2
2
+2
4
)⋮3
b)
4
20
+
4
21
+
4
22
+
4
23
4
20
+4
21
+4
22
+4
23
=
(
4
20
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4
22
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23
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20
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22
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)
=
4
20
(
1
+
4
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(
1
+
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(1+4)+4
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=
4
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.
5
+
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.
5
=4
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22
.5
=
5
(
4
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22
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⋮
5
=5(4
20
+4
22
)⋮5
32 + 54 - 22
= 9 + 625 - 22
= 634 - 22
= 612