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a) {(3x-54).8}:4=18
(3x-54).8=18.4=72
3x-54=72:8=9
3x=9+54=63
x=63:3=21
b)2.|x|=10
|x|=10:2=5
x=5 hoặc x=-5
c)(10-x)là số nguyên âm lớn nhất nên(10-x)=-1
x=10-(-1)=11
\(4^{18}.8^{15}=\left(2^2\right)^{18}.\left(2^3\right)^{15}\)
\(=2^{36}.2^{45}\)
\(=2^{81}\)
\(4^{15}.5^{30}=\left(2^2\right)^{15}.5^{30}\)
\(=2^{30}.5^{30}\)
\(=\left(2.5\right)^{30}\)
\(=10^{30}\)
\(\frac{3.72^2.54^2}{108^4}=\frac{3.\left(3^2.2^3\right)^2.\left(3^3.2\right)^2}{\left(3^3.2^2\right)^4}\)
\(=\frac{3.3^4.2^6.3^6.2^2}{3^{12}.2^8}\)
\(=\frac{3^{11}.2^8}{3^{12}.2^8}\)
\(=\frac{1}{3}\)
125 - 4 [ 3 - 7 . ( - 2 ) ]
= 125 - 4 [ 3 + 14 ]
= 125 - 68
= 57
18 + [ 3^3 - ( - 54 ) ]
= 18 + 81
= 99
3^8 : 3^5 + 2021^0 - ( 95 - 100 )^2
= 3^3 + 1 - 25
= 27 - 24
= 3
a) \(...=16.\left(36-37\right)=16.\left(-1\right)=-16\)
b) \(...=9.3+9.50=9.\left(3+50\right)=9.53=477\)
c) \(...=2.\left(\left(5.16-18\right)+36:18\right)=2.\left(70+2\right)=2.72=144\)
d) \(...=5\left(48:8+44\right)=5\left(6+44\right)=5.50=250\)
e) \(...=20-6=14\)
f) \(...=50+13-2=61\)
a) 16 . 36 - 16 . 37
= 16 . (36 - 37)
= 16 . (-1)
= -16
b) 36 : 4 . 3 + 9 . 50
= 9 . 3 + 9 . 50
= 9 . (3 + 50)
= 9 . 53
= 477
c) 2 . (5 . 16 - 18) + 36 : 18 . 2
= 2 . (80 - 18) + 2 . 2
= 2 . 62 + 2 . 2
= 2 . (62 + 2)
= 2 . 64
= 128
a) 46-(-54)+78-(50+78)
=46+54+78-50-78
=(46+54)+(78-78)-50
=100+0-50
=50
b) 125.5.(-2).(-8).(-6)
=[125.(-8)].[5.(-2)].(-8)
=-200.(-10).(-8)
=2000.(-8)
=-16000
c) (-2)3.4+3.(-4)2-18
=-8.4+3.16-18
=-32+48-18
=16-18
=-2
a,9.3.4.25
= 27.100
= 2700
b, 12.125.54
= 3.4.125.54
= 125.4.3.54
= 500.162
= 81000
c: \(=72\cdot14+72\cdot7+72\cdot19=72\cdot40=2880\)
d: \(=1700\cdot7-1700\cdot6=1700\)
e: Số số hạng là (65-1)/4+1=17(số)
Tổng là: \(\dfrac{65+1}{2}\cdot17=33\cdot17=561\)
\(\left[\left(3x-54\right)\cdot8\right]:4=18\\ \Rightarrow8\left(3x-54\right)=72\\ \Rightarrow3x-54=9\\ \Rightarrow3x=63\\ \Rightarrow x=21\)
\(\left[\left(3x-54\right).8\right]:4=18\)
<=> \(\left[24x-432\right]:4=18\)
<=> 24x : 4 - 432 : 4 = 18
<=> 6x - 108 = 18
<=> 6x = 126
<=> x = 21