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\(\frac{2^3.9^4+9^3.45}{9^2.10-9^2}=\frac{9^3\left(72+45\right)}{9^3}=72+45=117\)

5) 24*(15+49)+12*(50+42)
=24*64+12*92
=24*64+12*2*46
=24*64+24*46
=24*(64+46)
=24*110
=2640

Tính nhanh:
a,-69+53+46+(-94)+(-14)+78
= -16 + 46 - 94 + (-14) + 78
= 30 - 94 + (-14) + 78
=-64 + (-14) + 78
= -78 + 78
= 0
b,13-12+11+10-9+8-7-6+5-4+3+2-1
= 13 - ( 12 + 1 ) - ( 11 + 2 ) - ( 10 - 3 ) - ( 9 + 4 ) - ( 8 + 5 ) - ( 7 + 6 )
= 13 - 13 - 13 - 13 - 13 - 13 + 13
= 0 + 13
= 13
học tốt ạ

\(\left(2^3.9^8.5\right):\left(9^2.\left(10-1\right)\right)\)
\(=2^3.9^8.5:9^3\)
\(=2^3.9^5.5\)
\(\left(2^3.9^4.9^3.45\right):\left(9^2.10-9^2\right)\)
(=) \(\left(2^3.3^8.3^6.5.3^2\right):9^2\left(10-1\right)\)
(=) \(\left(2^3.3^{15}.5\right):3^4.3^2\)
(=) \(2^3.3^9.5\)

\(\left(2^3.9^4+9^3.45\right):\left(9^2.10-9^2\right)\)
\(=\left(2^3.9^4+9^3.\left(9.5\right)\right):\left[9^2.\left(10-1\right)\right]\)
\(=\left[2^3.9^4+9^4.5\right]:\left(9^2.9\right)\)
\(=9^4.\left(2^3+5\right):9^3\)
\(=\left(2^3+5\right).\left(9^4:9^3\right)\)
\(=\left(8+5\right).9\)
\(=13.9\)
\(=117\)
(23 . 94 + 93 . 45) : (92 . 10 - 92)
= (23 . 94 + 94 . 5): [92 . (10 - 1)]
= 94 (23 + 5) : [92 . (10 - 1)]
= 94 . 13 : 93
= 9 . 13
= 117.
Vậy.....


a) -12/27 = 3x-1/9
=> (-12).9 = 27.(3x-1)
=> -108 = 81x-27
=> 81x = -81
=>x=-1
Vậy x=-1.
b) 3-x/45 = 2/9 = 1/2y
=> 1) 3-x/45 = 2/9
=> 9(3-x)=45.2
=> 27-9x=90
=> 9x=-63
=> x=-7.
2) 2/9=1/2y
=> 2(2y)=9.1
=> 4.2y = 9
=> 2y = 9/4
=> y = 9/8
Vậy x=-7 ; y=9/8
~Hok tốt~

a) 1/2 + 3/4 - (3/4 - 4 - 5)
= 1/2 + 3/4 - 3/4 + 4 + 5
= (3/4 - 3/4) + (4 + 5) + 1/2
= 0 + 9 + 1/2
= 19/2
b) [9/16 + 8/(-27)] - (19/27- 7/16 - 2)
= 9/16 - 8/27 - 19/27 + 7/16 + 2
= (9/16 + 7/16) + (-8/27 - 19/27) + 2
= 1 - 1 + 2
= 2
c) -5/8 . [4/9 + 7/(-12)]
= -5/8 . (-5/36)
= 25/288
d) 7/10 . (-3/5) + 7/10 . (-2/5) - (-3/10)
= 7/10 . (-3/5 - 2/5) + 3/10
= 7/10 . (-1) + 3/10
= -2/5
e) -3/7 . 5/9 + 4/9 . (-3/7) + 2 3/7
= -3/7 . (5/9 + 4/9) + 17/7
= -3/7 . 1 + 17/7
= 2
f) 8 2/7 - (3 4/9 + 4 2/7)
= 8 + 2/7 - 3 - 4/9 - 4 - 2/7
= (8 - 3 - 4) + (2/7 - 2/7) - 4/9
= 1 - 4/9
= 5/9
h) 3.(-1/2)² - (4/5 + 8/15) : 5/6
= 3.1/4 - 4/3 : 5/6
= 3/4 - 8/5
= -17/20