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a) 5. 125 . 625
= 58
b) 10 . 100 . 1000
=106
c)84 . 165 . 32
= 212. 47
d)274 . 8110
= 321
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) 5.125.625 = 5.53.54 = 51 + 3 + 4 = 58 c) 84.165.32 = (23)4.(24)5.25 = 23.4.24.5.25 = 23.4 + 4.5 + 5 = 212 + 20 + 5 = 237
b) 10.100.1000 = 10.102.103 = 101 + 2 + 3 = 106 d) 274.8110 = (33)4.(34)10 = 33.4.34.10 = 33.4 + 4.10 = 312 + 40 = 352
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\(A=8^4.16^5.32=\left(2^3\right)^4.\left(2^4\right)^5.2^5\)\(=2^{12}.2^{20}.2^5=2^{12+20+5}=2^{37}\)
Vậy \(A=2^{37}\)
\(B=27^4.81^{10}=\left(3^3\right)^4.\left(3^4\right)^{10}=3^{12}.3^{40}=3^{12+40}=3^{52}\)
Vậy \(B=3^{52}\)
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