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a)\(2.2.2.3.3=2^3.3^2\)
b)\(8.8.8.2=2^3.2^3.2^3.2=2^{10}\)
c)\(8^4.16^5=\left(2^3\right)^4.\left(2^4\right)^5=2^{12}.2^{20}=2^{32}\)
d)\(5^{40}.125^2.625^3=5^{40}.\left(5^3\right)^2.\left(5^4\right)^3=5^{40}.5^6.5^{12}=5^{58}\)
e)\(27^4.81^{10}=\left(3^3\right)^4.\left(3^4\right)^{10}=3^{12}.3^{40}=3^{52}\)
f)\(10^3.100^5.1000^4=10^3.\left(10^2\right)^5.\left(10^3\right)^4=10^3.10^{10}.10^{12}=10^{25}\)
a. 84.165 = (23)4. (24)5 = 212. 220= 232
b. 540.1252.6253= 540. (53)2.(54)3= 540.56.512= 558
c. 274.8110= (33)4.(34)10= 312.340= 352
d. 103 . 1005 .10004= 103. (102)5.(103)4= 103.1010.1012= 1025
\(8^4.16^5=2^{12}.2^{20}=2^{32}\)
\(5^{40}.125^5.25^3=5^{40}.5^{15}.5^6=5^{61}\)
\(27^4.81^{10}=3^{12}.3^{40}=3^{52}\)
\(10^3.100^5.1000^4=10^3.10^{10}.10^{12}=10^{25}\)
\(8^4\cdot16^5=\left(2^3\right)^4\cdot\left(2^4\right)^5=2^{12}\cdot2^{20}=2^{32}\)
\(5^{40}\cdot125^2\cdot25^3=5^{40}\cdot\left(5^3\right)^2\cdot\left(5^2\right)^3=5^{40}\cdot5^6\cdot5^6=5^{52}\)
\(27^4\cdot81^{10}=\left(3^3\right)^4\cdot\left(3^4\right)^{10}=3^{12}\cdot3^{40}=3^{52}\)
\(10^3\cdot100^5\cdot1000^4=10^3\cdot\left(10^2\right)^5\cdot\left(10^3\right)^4=10^3\cdot10^{10}\cdot10^{12}=10^{25}\)
a) 5. 125 . 625
= 58
b) 10 . 100 . 1000
=106
c)84 . 165 . 32
= 212. 47
d)274 . 8110
= 321
a) 5 . 125 . 625=5.5.5.5.5.5.5.5=58 ; b) 10 . 100 . 1000000=10.10.10.10.10.10.10.10-.10=109
c) 84 . 165 . 32 =(23)4.(24)5=212.220=232 ; d) 274 . 8110=(33)4.(34)10=312.340=352
d. 513:1254
= 513 : ( 53)4
= 513 : 512
= 51
Chúc bạn học tốt!!! Các câu sau tương tự thôi
a ) A = 82 x 324 = ( 23 )2 x ( 25 )4 = 23.2 x 25.4 = 26 x 220 = 226
b ) B = 273 x 94 x 243 = ( 33 )3 x ( 32 )4 x 35 = 33.3 x 32.4 x 35 = 39 x 38 x 35 = 322
c ) C = 643 : 163 = ( 43 )3 : ( 42 )3 = 43.3 : 42.3 = 49 : 46 = 43
d ) D = 513 : 1254 = 513 : ( 53 )4 = 513 : 53.4 = 513 : 512 = 51
84.165=84.8.85=810
274.8110 = (33)4.(34)10=352
540.1252.6252=540.(53)2.(54)2=540.56.58=554
103.1005.10004=103.(102)5.(103)4=103.1010.1012=1025
a, 84 . 165 = (23)4 . (24)5 = 212 . 220 = 212 + 20 = 232
b, 274 . 8110 = (33)4 . (34)10 = 312 . 340 = 312 + 40 = 352
c, 540 . 1252 . 6252 = 540 .(53)2 . (54)2 = 540 . 56 . 58 = 540 + 6 + 8 = 554
d, 103 . 1005 . 10004 = 103 . (102)5 . (103)4 = 103 . 1010 . 1012 = 103 + 10 + 12 = 1025
a) 2.84 = 2.(23)4 = 2.212 = 213
b) 256 . 1253 = (52)6 . (53)3 = 512.59 = 521
c) 6255 : 257 = (54)5 : (52)7 = 520:514 = 56
d) 123.33 = (12.3)3 = 363
e) 23.84.163 = 23.(23)4.(24)3 = 23.212.212 = 227
f) 643 . 43 : 163 = (43)3 . 43 : (42)3 = 49.43:46 = 412:46 = 46
G) 812 : ( 32 . 27 ) = (34)2 : 32 . 33 = 38 : 32 . 33 = 36.33 = 39
a) 2 . 84=2.(22)4=2.28=21+8=29
b) 256 . 1253=(22)6.(53)3=212.59=212+9=221
c) 6255 : 257=(54)5:(52)7=520:514=520-14=56
d) 123 . 33=(12.3)3=363
e) 23 . 84 . 163=23.(23)4.(24)3=23.212.212=23+12+12=227
f) 643 . 43 : 163=(43)3.43:(42)3=49.43:46=49+3-6=46
g) 812 : ( 32 . 27 )=(34)2:(32.33)=38:32+3=38:35=38-5=33
a)213
b)521
c)56
d)43
e)227
còn lại tự nghĩ,mệt lắm rùi
trả lời A/84 . 165=