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\(3^2.22-3^3.19=3^2.\left(22-19.3\right)\)
\(=3^2.\left(22-57\right)\)
\(=9.\left(-35\right)\)
\(=-315\)
\(\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}=\frac{22.3^{28}-3^{28}.2}{2^3.3^{28}}=\frac{3^{28}.20}{3^{28}.4}=\frac{20}{4}=5\)
Lời giải:
$[11.3^{22}.3^7+(-9)^{15}]:(2.3^{19})^2$
$(11.3^{29}-3^{30}):(2^2.3^{38})$
$=3^{29}(11-3):(4.3^{38})=\frac{3^{29}.8}{4.3^{38}}=\frac{2}{3^9}$
\(3^3.18-3^3.12=3^3.2.3^2-3^3.2^2.3=3^5.2-3^4.2^2=3^4.2.\left(3-2\right)=3^4.2=162\\ \)
a) 2\(^3\).15 -[115-(12-5)\(^2\)]
= 8.15-[115-(7)\(^2\)]
= 120-[115-49]
= 120-66
= 54
c)4.5\(^2\)- 81:3\(^2\)+3\(^2\).22-3\(^3\).19
=4.25-81:9+9.22-27.19
=100-9+198-513
=91+198-513
=289-513
=(-224)
Câu b sai đề nhé bn
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
a) 12 . 53 + 53 . 172 + 53 . 84
= 53 . (12 + 172 - 84)
= 53 . 100
= 5300
b) 53 . 35 . 13 + 35 . 17 + 65 . 75 - 65 . 45
= 35 . (53 . 13 + 17) + 65 . (75 - 45)
= 35 . 706 + 65 . 30
= 24710 + 950
= 26660
c) 23 . 15 - [ 115 - (12 - 5)2 ]
= 8 . 15 - (115 - 72)
= 120 - 115 + 49
= 5 + 49
= 54
d) 32 . 22 - 32 . 19
= 32 . (22 - 19)
= 32 . 3
= 33
= 27
Bài 4:
a) 12. 53 + 53. 172 - 53. 84
= 53.(12 + 172 - 84)
= 53. 100
= 5300
b) 53. 35. 13 + 35. 17 + 65. 75 - 65. 45
= 35.(53. 13 + 17) + 65.(75 - 45)
= 35.(689 + 17)+ 65. 30
= 35. 706 + 1950
= 24710 + 1950
= 26660
c) 23. 15 - [115 - (12 - 5)2]
= 8. 15 - (115 - 72)
= 120 - (115 - 49)
= 120 - 66
= 54
d) 32. 22 - 32. 19
= 32.(22 - 19)
= 9. 3
= 27
36 x 12 + 36 x 45 + 36 x 33
= 36 x (12 + 45 + 33)
= 36 x 90
= 3240
b) 78 x 31 + 78 x 24 + 78 x 17 + 22 x 72
=78 x (31 + 24 + 17) + 22 x 72
= 78 x 72 + 22 x 72
= (78 + 22) x 72
= 100 x 72
= 7200
c) ( 34 - 17 )2 - 23 x 32
\(=17^2-8.9\)
\(=289-72\)
\(=217\)
`3^3 . 22 - 3^2 . 19`
`= 27 . 22 - 9 . 19`
`= 594 -171`
`= 423`