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Lời giải:
\(P=\frac{2^{19}.27^3+15.4^9.9^4}{6^9.2^{10}+12^{10}}\\ =\frac{2^{19}.3^9+3.5.2^{18}.3^8}{2^9.3^9.2^{10}+2^{20}.3^{10}}\\ =\frac{2^{19}.3^9+2^{18}.3^9.5}{2^{19}.3^9+2^{20}.3^{10}}\\ =\frac{2^{18}.3^9(2+5)}{2^{19}3^9(1+2.3)}\\ =\frac{1}{2}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Rút gọn biểu thức
\(\text{a,x+(-30)-[95+(-40)+(-30)]}\)
\(=x+\left(-30\right)-95+40+30\)
\(=x-95+40=x-55\)
\(\text{a+(273-120)-(270-120)}\)
\(=a+273-120-270+120\)
\(=a+273-270=a+3\)
\(\text{b-(294+130)+(94+130)}\)
\(=b-294-130+94+130\)
\(=b-294+94=b-200\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) x + (- 30) - [95 + (- 40) + 5 + (- 30)]
= x + (-60) = x - 60
b) a + ( 273 - 120 ) - ( 270 - 120 )
= a + 3
c) b - ( 294 + 130 ) + ( 94 + 130 )
= b - 648
cho tổng S=5+8+11+14+...
a,tìm số hạng thứ 100 của tổng
b,tính tổng 100 số hạng đầu tiên
![](https://rs.olm.vn/images/avt/0.png?1311)
a) x + ( - 30 ) - [ 95 + ( - 40) + 5 + ( - 30) ]
= x - 30 - 95 + 40 - 5 + 30
= x -60
b) a + ( 273 - 120 ) - ( 270 - 120 )
= a + 273 -120 -270 + 120
= a+ 3
c) b - ( 294 + 130 ) + ( 94 + 130 )
= b - 294 -130 +94 +130
= b - 200
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{3\times21}{14\times15}=\frac{1\times21}{14\times5}=\frac{21}{70}=\frac{3}{10}\)
\(\frac{49+7\times49}{49}=\frac{392}{49}=8\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) x+(-30)-(95-40-30+x)
=x+(-30)-95+40+30-x
=(x-x) +[(-30)-95+40+30]
=-55
b) a+(273-a-120)-(270-120)
=a+273-a-120-150
=(a-a)+(273-120-150)
=3
c)b-(294+130)+(94+130)
=b-424+224
=b-(424-224)
=b-200
![](https://rs.olm.vn/images/avt/0.png?1311)
a)
49:44=45
178:175=173
210:82=210:24=26
1810:310=1510
275:813=315:312=33
b)106:102=104
59:56=53
410:643=4
225:324=225:220=25
184:94=94
\(4^9:4^4\)
=\(4^{9-4}\)
=\(4^5\)
\(17^8:17^5\)
=\(17^{8-5}\)
= \(17^3\)
\(2^{10}:8^2\)
\(=2^{^{ }10}:\left(2^3\right)^2\)
=\(2^{10}:2^6\)
\(=2^4\)
\(18^{10}:3^{10}\)
=\(\left(18:3\right)^{10}\)
=\(6^{10}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a. -30x-(95-40-30)
-30x-95+40+30
-30x-25
(rut gon: -5(6x-5)
Nhung y sau tuong tu nhe ban
![](https://rs.olm.vn/images/avt/0.png?1311)
đề nghĩa là zầy ak:
\(\frac{2^{19}.27^3+15.4^9.9^4}{6^9.2^{10}+12^{10}}\)
mk cần suy nghĩ