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a, 25 . 84 = 25 . (23)4 = 25 . 212 = 25+12 = 217
b, 256 . 1253 = (52)6 . (53)3 = 512 . 59 = 512+9 = 521
c, 6255 : 257 = (54)5 : (52)7 = 520 : 514 = 520-14 = 56
d, 123 . 33 = ( 3 . 22 )3 . 33 = 33 .26 . 33 = 33+3 . 26 = 36 . 26 = (3.2)6 = 66
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
a, \(10^2=100\) \(10^3=1000\) \(10^4=10000\) \(10^5=100000\) \(10^6=1000000\)
b, \(1000=10^3\) \(1000000=10^6\) 1 tỉ \(=1000000000=10^9\) \(1000000000000=10^{12}\)
a. \(10^2=100\)
\(10^3=1000\)
\(10^4=10000\)
\(10^5=100000\)
\(10^6=1000000\)
b.\(1000=10^3\)
\(1000000=10^6\)
\(1tỉ=1000000000=10^9\)
\(1000000000000=10^{12}\)
a, 325 . 2566 . 102410 = (25)5 . (28)6 . (210)10 = 225 . 248 . 2100 = 225 + 48 + 100 = 2173
b,279 . 2437 . 72912 = (33)9 . (35)7 . (36)12 = 327 . 335 . 372 = 327 + 35 + 72 = 3134
c,1213 . 189 . 2425 = (3 . 22)13 . (32 . 2)9 . (23 . 3)25 = 313 . 226 . 318 . 29 . 275 . 325 = 313 + 18 + 25 . 226 + 9 + 75 = 356 . 2110
d,1089 . 366 . 7217 = (33 . 22)9 . (32 . 22)6 . (23 . 32)17 = 327 . 218 . 312 . 212 . 251 . 334 = 327 + 12 + 34 . 218 + 12 + 51 = 373 . 281
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