81: 3 : 3 = ?
36: 3: 3 =?
54:3:3=?
72:3:3=?
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a) Có: \(3+3^2+3^3+3^4+...+3^{99}\\ =\left(3+3^2+3^3\right)+\left(3^4+3^5+3^6\right)+...+\left(3^{97}+3^{98}+3^{99}\right)\\ =\left(3+3^2+3^3\right)+3^3\left(3+3^2+3^3\right)+...+3^{97}\left(3+3^2+3^3\right)\\ =39+3^3\cdot39+...+3^{97}\cdot39\\ =13\cdot3+3^3\cdot13\cdot3+...+3^{97}\cdot13\cdot3\\ =13\left(3+3^4+...+3^{98}\right)⋮13\left(đpcm\right)\)
b) Có: \(81^7-27^9-9^{13}\\ =\left(3^4\right)^7-\left(3^3\right)^9-\left(3^2\right)^{13}\\ =3^{28}-3^{27}-3^{26}\\ =3^{26}\left(3^2-3-1\right)\\ =3^{24}\cdot\left(3^2\cdot5\right)\\ =3^{24}\cdot45⋮45\left(đpcm\right)\)
c) Có: \(24^{54}\cdot54^{24}\cdot2^{10}\\ =\left(2^3\cdot3\right)^{54}\cdot\left(2\cdot3^3\right)^{24}\cdot2^{10}\\ =2^{162}\cdot3^{54}\cdot2^{24}\cdot3^{72}\cdot2^{10}\\ =2^{196}\cdot3^{126}\\ =2^7\cdot\left(2^{189}\cdot3^{126}\right)\\ =2^7\cdot\left[\left(2^3\right)^{63}\cdot\left(3^2\right)^{63}\right]\\ =2^7\left(8^{63}\cdot9^{63}\right)\\ =2^7\cdot72^{63}⋮72^{63}\left(đpcm\right)\)
a) ta có: 3 + 32 + 33 + 34 + ... + 399
= (3 + 32 + 33) + (34 + 35 +36) + ... + (397 + 398 + 399)
= 3(1 + 3 + 32) + 34(1 + 3 + 3) + ... + 396(1 + 3 + 3)
= 3.13 + 34.13 + ... + 396.13
= 13(3 + 34 + ... + 396) ⋮ 13
vậy (3 + 32 + 33 + 34 + ... + 399) ⋮ 13
b) ta có: 817 - 279 - 913
= (34)7 - (33)9 - (32)13
= 328 - 327 - 326
= 326(32 - 3 - 1)
= 326 . 5 = 324 (9.5) = 324 . 45 ⋮ 45
Vậy (817 - 279 - 913) ⋮ 45
c) ta có: 2454.5424.210
= (23.3)54 . (2.33)24 . 210
= 2162 . 354 . 224 . 372 . 210
= 2196 . 3126
= (2193.3124).(23.32)
= (2193.3124).72 ⋮ 72
vậy (2454.5424.210) ⋮ 72
63:7=9
3:3=1
18:3=6
6:3=2
72:9=8
27:3=9
81:9-9
20:2=10
15:5=3
36:6=6
36:4=9
hok tốt
63:7=9
3:3=1
18:3=6
6:3=2
72:9=8
27:3=9
81:9=9
20:2=10
15:5=3
36:6=6
36:4=9
\(\dfrac{-54}{72}=\dfrac{-3}{4}\); \(\dfrac{42}{36}=\dfrac{7}{6}\); \(\dfrac{2}{-3}=\dfrac{2}{-3}\)
\(\Rightarrow BCNN\left(4,6,-3\right)=12\)
Quy đồng
\(\dfrac{-3}{4}=\dfrac{-3.3}{4.3}=\dfrac{-9}{12}\)
\(\dfrac{7}{6}=\dfrac{7.2}{6.2}=\dfrac{14}{12}\)
\(\dfrac{2}{-3}=\dfrac{2.\left(-4\right)}{\left(-3\right).\left(-4\right)}=\dfrac{-8}{12}\)
a)
\(15+27+9+85+73\)
\(=\left(15+85\right)+\left(27+73\right)+39\)
\(=200+39\)
\(=329\)
b)
\(54.36+54.27+54.37\)
\(=54\left(36+27+37\right)\)
\(=54.100\)
\(=5400\)
c)
\(168-3^7:3^4+2013^0\)
\(=168-3^3+1\)
\(=168-27+1\)
\(=142\)
d)
\(3^4.15+81.26+27.59.3\)
\(=81.15+81.26+81.59\)
\(=81.\left(15+26+59\right)\)
\(=81.100\)
\(=8100\)
Tính giá trị của các biểu thức sau :
a.15 + 27 + 39 + 85 + 73
= ( 15 + 85 ) + ( 27 + 73 ) + 39
= 100 + 100 + 39
= 200 + 39
= 239
b. 54 .36 + 54 . 27 + 54 . 37
= 54 . ( 36 + 27 + 37 )
= 54 . 100
= 5400
c.168 - 37 : 34 + 20130
= 168 - 33 + 1
= 168 - 27 + 1
= 141 + 1
= 142
đ. 34 . 15 + 81 . 26 + 27 . 59 . 3
= 34 . 15 + 34 . 26 + 34 . 59
= 34 . ( 15 + 26 + 59 )
= 81 . 100
= 8100
a. =(1+10)×10 :2
=11×10:2
=110:2
=55
b. Số các số hạng là =(90-9):9+1= 10
Tổng = (9+90)×10:2=495
9 x 2 = 18 | 9 x 3 = 27 | 9 x 4 = 36 | 9 x 5 = 45 |
18 : 9 = 2 | 27 : 9 = 3 | 36 : 9 = 4 | 45 : 9 = 5 |
9 x 6 = 54 | 9 x 7 = 63 | 9 x 8 = 72 | 9 x 9 = 81 |
54 : 9 = 6 | 63 : 9 = 7 | 72 : 9 = 8 | 81 : 9 = 9 |
9 x 2 = 18 9 x 3 = 27 9 x 4 = 36 9 x 5 = 45
18 : 9 = 2 27 : 9 = 3 36 : 9 = 4 45 : 9 = 5
9 x 6 = 54 9 x 7 = 63 9 x 8 = 72 9 x 9 = 81
54 : 9 = 6 63 : 9 = 7 72 : 9 = 8 81 : 9 = 9
81: 3 : 3 = 9
36: 3: 3 =4
54:3:3=6
72:3:3=8
hoc tốt!!!
81:3:3=81:9=9
36:3:3=36:9=4
54:3:3=54:9=6
72:3:3=72:9=8