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Chất lượng như Trường THCS Nam Hà - Thành phố Hà Tĩnh mà phải hỏi bài này sao
a) \(\frac{18^4.3^2.8^3}{27^3.16^2}=\frac{\left(2.3^2\right)^4.3^2.\left(2^3\right)^3}{\left(3^3\right)^3.\left(2^4\right)^2}=\frac{2^4.2^9.3^8.3^2}{3^9.2^8}=\frac{2^{13}.3^{10}}{3^9.2^8}=3.2^5=96\)
b) \(\frac{35^5.9^3.8^5}{81^4.32^5}=\frac{35^5.\left(3^2\right)^3.\left(2^3\right)^5}{\left(3^4\right)^4.\left(2^5\right)^5}=\frac{35^5.3^6.2^{15}}{3^{16}.2^{25}}=\frac{35^5}{3^{10}.2^{10}}=\frac{35^5}{6^{10}}\)
c) \(\frac{48^5.18^2}{81^2.34^4}=\frac{\left(2^4.3\right)^5.\left(2.3^2\right)^2}{\left(3^4\right)^2.\left(2.17\right)^4}=\frac{2^{20}.3^5.2^2.3^4}{3^8.2^4.17^4}=\frac{2^{22}.3^9}{3^8.2^4.17^4}=\frac{2^{18}.3}{17^4}\)
d) \(\frac{54^7.27^3.16^2}{243^2.64^3}=\frac{\left(2.3^3\right)^7.\left(3^3\right)^3.\left(2^4\right)^2}{\left(3^5\right)^2.\left(2^6\right)^3}=\frac{2^7.3^{21}.3^9.2^8}{3^{10}.2^{18}}=\frac{2^{15}.3^{30}}{3^{10}.2^{18}}=\frac{3^{20}}{2^3}\)
a) \(\left[\left(10-2.30.5\right)+2.6\right]:2+\left(4.5\right)^2\)
\(=\left[\left(10-300\right)+2.6\right]:2+20^2\)
\(=\left(-290+2.6\right):2+400\)
\(=\left(-290+12\right):2+400\)
\(=-278:2+400\)
\(=-139+400\)
\(=-\left(139-400\right)\)
\(=-\left(-261\right)\)
\(=261\)
b) \(536.27-9\left(825+219\right):18+15^3:15^2.4^2.3\)
\(=536.27-9.1044:18+15^3:15^2.4^2.3\)
\(=14472-9396:18+15^3:15^2.4^2.3\)
\(=14472-522+15^3:15^2.4^2.3\)
\(=13920+15^{3-2}.4^2.3\)
\(=13920+15.4^2.3\)
\(=13920+15.16.3\)
\(=13920+240.3\)
\(=13920+720\)
\(=14640\)
a) $3^8:3^6=3^{8-6}=3^2$
$19^7:19^3=19^{7-3}=19^4$
$2^{10}:8^3=2^{10}:(2^3)^3=2^{10}:2^9=2^{10-9}=2^1$
$12^7:6^7=(12:6)^7=2^7$
$27^5:81^3=(3^3)^5:(3^4)^3=3^{15}:3^{12}=3^{15-12}=3^3$
b) $10^6:10=10^{6-1}=10^5$
$5^8:25^2=5^8:(5^2)^2=5^8:5^4=5^{8-4}=5^4$
$4^9:64^2=4^9:(4^3)^2=4^9:4^6=4^{9-6}=4^3$
$2^25:32^4=2^{25}:(2^5)^4=2^{25}:2^{20}=2^{25-20}=2^5$
$18^3:9^3=(18:9)^3=2^3$
\(\cdot3^8:3^6=3^{8-6}=3^2\)
\(\cdot19^7:19^3=19^{7-3}=19^4\)
\(\cdot2^{10}:8^3=2^{10}:\left(2^3\right)^3=2^{10}:2^9=2\)
\(\cdot12^7:6^7=\left(12:6\right)^7=2^7\)
\(\cdot27^5:81^3=\left(3^3\right)^5:\left(3^4\right)^3=3^{15}:3^{12}=3^3\)
\(\cdot10^6:10=10^{6-1}=10^5\)
\(\cdot5^8:25^2=5^8:\left(5^2\right)^2=5^8:5^4=5^4\)
\(\cdot4^9:64^2=4^9:\left(4^3\right)^2=4^9:4^6=4^3\)
\(2^{25}:32^4=2^{25}:\left(2^5\right)^4=2^{25}:2^{20}=2^5\)
\(18^3:9^3=\left(18:9\right)^3=2^3\)
13 sao trừ được 18 bạn xem có sai đề ko
nếu sai đề gửi đề mới mình giải cho
a, ( 19X + 2 x 52 ) : 14 = ( 13 - 18 )2 - 42
( 19X + 2 x 52 ) : 14 = ( -5 )2 - 42
( 19X + 2 x 52 ) : 14 = 25 - 16
( 19X + 2 x 25 ) : 14 = 9
( 19X + 2 x 25 ) = 9 . 14
19X + 2 x 25 = 126
19X + 50 = 126
19X = 126 - 50
19X = 76
X = 76 : 19 = 4
b, 2 x 3X = 10 x 312 + 8 x 274
2 x 3X = 10 . 531441 + 8 . 531441
2 x 3X = 2 x 3X = 531441( 10+8)
2 x 3X = 531441 . 18 = 9565938
3x = 9565938 : 2 = 4782969
ma 3^( dungf mt ra tips keets quar )
Hok tot
A, (-25). 21. (-2)2. (-|-3|). (-1)2015
B, (-5)3. 67. (-|-2|). (-1)2014
C, 35.18 – 5.7.28 + 35. (-90)
D, 24. (16 – 5) – 16. (24 – 5)
E, - 79. (73 – 27) – 73. (-79 + 27)
G, 31. (-18) + 31. (-8)-31
M, -48 + 48. (-78) + 48. (-21)
N, -|-17| + 2. [ 24: (-8) + (-5)2]
I, -|-7|. [(-2)4 + (-36): (-32)] – (-5)3
Ta có
37.275.813 \(=\)\(3^7.3^{15}.3^{12}=3^{34}\)
365:185 \(=18^5\times2^5:18^5=2^5\)
24.55+52.53 \(=24.5^5+5^5=\left(24+1\right)5^5=25.5^5=5^7\)
1254:58\(=5^{12}:5^8=5^4\)
3.5^2-27:3^2+5^2.4-18:3^2
=3.25-27:9+25.4+18:9
= 75-3+100+2
= 174