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a, 410. 230=220.230=250
b,925.274.813= 350.312.312=374
Tương tự các câu khác....
a, 410.230 = (22)10.230 = 220.230 = 250
b, 925.274.813 = (32)25.(33)4.(34)3 = 350.312.312 = 374
c, 2550.1255 = (52)50.(53)5 = 5100.515 = 5115
d, 643.48.164 = (26)3.(22)8.(24)4 = 218.216.216 = 250
e, 38 : 36 = 32
210 : 83 = 210 : (23)3 = 210 : 29 = 2
127 : 67 = (12 : 6)7 = 27
@Dương Tuyết Mai
Câu 1a:
A = 4^6.9^2/(6^3.8^2)
A = 2^12.3^4/(2^3.3^3.2^6)
A = 2^12.3^4/(2^9.3^3)
A = 2^3.3
A = 8.3
A = 24
Câu 1b:
B = 5^6.15^4/(5^4.3^3)
B = 5^6.5^4.3^4/(5^4.3^3)
B = 5^6.3
B = 25.3
B = 46875
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
a: \(=\dfrac{2}{3}+\dfrac{19}{35}=\dfrac{70+57}{105}=\dfrac{127}{105}\)
b: \(=\dfrac{2}{7}+\dfrac{2}{5}=\dfrac{24}{35}\)
c: \(=\dfrac{7}{12}-\dfrac{14}{2}=\dfrac{7-84}{12}=\dfrac{-77}{12}\)
d: \(=\dfrac{-15}{60}-\dfrac{1}{8}=-\dfrac{3}{8}\)
e: \(=-\dfrac{12}{72}+\dfrac{1}{18}=\dfrac{-3}{18}+\dfrac{1}{18}=\dfrac{-2}{18}=\dfrac{-1}{9}\)
câu E:
(-4/-9).3/8 + 1/18
= 1/6 + 1/18
= 3/18 + 1/18
= 4/18
= 2/9
Câu F;
2/7 + 28/27:(-4/-9)
= 2/7 + 28/27 x 9/4
= 2/7 + 7/3
= 6/21 + 49/21
= 55/21
a) 2^7 . 9^3 / 6^5 . 8^2
= 2^7 . 3^9 / 2^5 . 3^5 . 2^6
= 2^-4 . 3^4
Câu b:
B = 6^10.27^5/(4^5.81^6)
B = 2^10.3^10.3^15/(2^10.3^24)
B = 3^10.3^15/3^24
B = 3^25/3^24
B = 3
Câu c:
C = 3^18.32^9/(64^7.27^6)
C = 3^18.2^45/(2^42.3^18)
C = 2^3
C = 8
Câu d:
D = (9^12.3^5 + 9^15)/[(2.27)^5.3^14]
D = (3^24.3^5 + 3^30)/[2^5.(3^15.3^14)]
D = 3^29( 1 + 3)/[2^5.(3^15.3^14)]
D = 3^29.4/[2^5.3^29]
D = 2^2/2^5
D = 1/2^3
D = 1/8
D = 183/16
Câu e:
E = (5^4 + 2^2.5^2 - 125)/2^3.3
E = (5^4 + 2^2.5^2 - 5^3)/2^3.3
E = 5^2.(5^2 + 2^2 - 5)/2^3.3
E = 5^2.(25 + 4 - 5)/2^3.3
E = 25.24/8.3
E = 25.24/24
E = 25