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\(\text{a/ 8^5 : 83+ 3^2 .2^3- 2^3 - 20090 }\)
\(=8^2+17-8-1\)
\(=72\)
\(\text{ 90 - [20 - (9-5)^2] }\)
\(=90-\left(20-4^2\right)\)
\(=90-4=86\)
\(\text{16.85=16.15-120 }\)\(\text{Hình như sai đề}\)
\(d.3^2.4+24:2^3\)
\(=36+3=39\)
\(\text{65 + [21-(6-2)^2 ]}\)
\(65+\left(21-4^2\right)\)
\(65+5=70\)
A = 136 . 25 + 75 . 136 - 62 . 102 B = 90 - (22 . 25 - 32 . 7) C = 720 - {96 . [ (24 . 2 - 5) : 32 . 130] }
= 136 . (25 + 75) - 36 . 100 = 90 - (4 . 25 - 9 . 7)
= 136 . 100 - 36 . 100 = 90 - (100 - 63)
= (136 - 36) . 100 = 90 - 37
= 100 . 100 = 53
= 10000
D = 570 + {96 . [ (24 . 2 - 5) : 32 . 130] } E = 37 . 24 + 37 . 76 + 63 . 79 + 21 . 63
= 570 + {96 . [ (16 . 2 - 5) : 9 . 1] } = 37 . (24 + 76) + 63 . (79 + 21)
= 570 + [96 . (27 : 9) ] = 37 . 100 + 63 . 100
= 570 + (96 . 3) = (37 + 63) . 100
= 570 + 288 = 100 . 100
= 858 = 10000
A = \(\frac{2^{10}.13+2^{10}.65}{2^8.104}\)
\(A=\frac{2^{10}.\left(13+65\right)}{2^8.104}=\frac{2^{10}.78}{2^8.104}\)
\(A=\frac{2^2.3}{1.4}=3\)
A = 3 + 32 + 33 + ... + 3120 (có 120 số; 120 chia hết cho 6)
A = (3 + 32 + 33 + 34 + 35 + 36) + (37 + 38 + 39 + 310 + 311 + 312) + ... + (3115 + 3116 + 3117 + 3118 + 3119 + 3120)
A = 3.(1 + 3 + 32 + 33 + 34 + 35) + 37.(1 + 3 + 32 + 33 + 34 + 35) + ... + 3115.(1 + 3 + 32 + 33 + 34 + 35)
A = 3.364 + 37.364 + ... + 3115.364
A = 364.(3 + 37 + ... + 3115)
A = 4.13.7.(3 + 37 + ... + 3115) chia hết cho 4 và 13
\(CM:A⋮11\)
Số lượng số dãy số trên là :
( 90 - 1 ) : 1 + 1 = 90 ( số )
Do 90 \(⋮5\)nên ta nhóm 5 số liền nhau thành 1 nhóm như sau :
\(A=\left(3+3^2+3^3+3^4+3^5\right)+...+\left(3^{86}+3^{87}+3^{88}+3^{89}+3^{90}\right)\)
\(A=3.\left(1+3+3^2+3^3+3^4\right)+...+3^{86}.\left(1+3+3^2+3^3+3^4\right)\)
\(A=3.121+...+3^{86}.121\)
\(A=121.\left(3+...+3^{86}\right)⋮11\left(121⋮11\right)\left(Đpcm\right)\)
Ta có \(\frac{5^3.90.4^3}{25^2.3^2.2^{13}}\)
\(=\frac{5^3.2.3^2.5.\left(2^2\right)^3}{\left(5^2\right)^2.3^2.2^{13}}\)
\(=\frac{5^4.2^{13}.3^2}{5^4.3^2.2^{13}}\)
\(=1\)
kết quả là \(\frac{720000}{46080000}=\frac{1}{64}\)nha !!!
k mk nha !!!!!!!^-^
\(S=\left(3+3^2+3^3\right)+\left(3^4+3^5+3^6\right)+...+\left(3^{88}+3^{89}+3^{90}\right)\)
\(=3\left(1+3+3^2\right)+3^4\left(1+3+3^2\right)+...+3^{88}\left(1+3+3^2\right)\)
\(=3.13+3^4.13+...+3^{88}.13\)
\(=13\left(3+3^4+...+3^{88}\right)\) chia hết cho \(13\)
\(S=3+3^2+3^3+3^4+....+3^{89}+3^{90}\)
\(=\left(3+3^2+3^3\right)+\left(3^4+3^5+3^6\right)+...+\left(3^{88}+3^{89}+3^{90}\right)\)
\(==3\left(1+3+3^2\right)+3^4\left(1+3+3^2\right)+3^{88}\left(1+3+3^2\right)\)
\(=\left(1+3+3^2\right).\left(3+3^4+....+3^{88}\right)\)
\(=13\left(3+3^4+...+3^{88}\right)\)\(⋮\)\(13\)
a) (247 x 514 x 213 x 913 x 517 x 917 ) : (230 x 230 x 530 x 930)
(260 x 531 x 930) : (260 x 530 x 930) = 5
90 - [ 120 - ( 13 - 8)3]
= 90 - [ 120 - 53 ]
= 90 - [ 120 - 125]
= 90 - (-5)
= 95