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a) \(2^5.8^4=2^5.\left(2^3\right)^4=2^5.2^{12}=2^{5+12}=5^{17}\)
b) \(25^6.125^3=\left(5^2\right)^6.\left(5^3\right)^3=5^{12}.5^9=5^{12+9}=5^{21}\)
c) \(625^5:25^7=\left(5^4\right)^7:\left(5^2\right)^7=5^{28}:5^{14}=5^{28-14}=5^{14}\)
d) \(12^3.3^3=\left(12.3\right)^3=36^3\)
Dấu chấm là nhân nhé
minh anh sai rồi câu a là 2 mũ 17 mà ghi là 5 mũ 17
a, 410. 230=220.230=250
b,925.274.813= 350.312.312=374
Tương tự các câu khác....
a, 410.230 = (22)10.230 = 220.230 = 250
b, 925.274.813 = (32)25.(33)4.(34)3 = 350.312.312 = 374
c, 2550.1255 = (52)50.(53)5 = 5100.515 = 5115
d, 643.48.164 = (26)3.(22)8.(24)4 = 218.216.216 = 250
e, 38 : 36 = 32
210 : 83 = 210 : (23)3 = 210 : 29 = 2
127 : 67 = (12 : 6)7 = 27
@Dương Tuyết Mai
a) 25 . 84 = 25 . (23)4 = 25 . 212 = 217
b) 256 . 1253 = (52)6 . (53)3 = 512 . 59 = 521
c) 6255 : 257 = (252)5 : 257 = 2510 : 257 = 253
d) 123 . 33 = (12 . 3)3 = 363
\(a,2^5.8^4=2^5.2^{12}=2^{17}\)
\(b,25^6.125^3=5^{12}.5^9=5^{21}\)
\(c,625^5.25^7=5^{20}.5^{14}=5^{34}\)
\(d,12^3.3^3=\left(12.3\right)^3=36^3\)
a) 25 . 84 = 25 . (23)4 = 25 . 212 = 217
b) 256 . 1253 = (52)6 . (53)3 = 512 . 59 = 521
c) 6255 : 257 = (252)5 : 257 = 2510 : 257 = 253
d) 123 . 33 = (12 . 3)3 = 363
Trả lời:
\(a)\)\(2^5.8^4=2^5.\left(2^3\right)^4=2^5.2^{12}=2^{5+12}=2^{17}\)
\(b)\)\(25^6.125^3=\left(5^2\right)^6.\left(5^3\right)^3=5^{12}.5^9=5^{12+9}=5^{21}\)
\(c)\)Chưa rõ đề.
\(d)\)\(12^3.3^3=\left(12.3\right)^3=36^3\)
\(2^5.4=2^5.2^2=2^7\);\(5^4.25=5^4.5^2=5^6\); \(16^3.2^3=\left(2^4\right)^3.2^3=2^{12}.2^3=2^{15}\)
\(625^5:25^7=\left(5^4\right)^5:\left(5^2\right)^7=5^{20}:5^{14}=5^6\); \(25^6:125^3=\left(5^2\right)^6:\left(5^3\right)^3=5^{12}:5^9=5^3\)
\(12^4.3^4=\left(2^2.3\right)^4.3^4=2^8.3^4.3^4=2^8.3^8=6^8\); \(9^6:3^2=\left(3^2\right)^6:3^2=3^{12}:3^2=3^{10}\)
\(2^3.2^4.2=2^8\)
`a, = 5^3 xx 3^3 = 15^3`
`b, = 12^3 xx 4^3 = 48^3`
`c, = 625^3 xx 8^3 = 5000^3`
`d, = 625 ^3 xx 125^3 = 78125^3`
`e, = 5^20 : 5^14 = 5^6`
1,\(125\cdot27=5^3\cdot3^3=\left(5\cdot3\right)^3=15^3\)
2, \(12^3\cdot64=12^3\cdot4^3=\left(12\cdot4\right)^3=48^3\)
3, \(25^6\cdot8^3=\left(5^2\right)^6\cdot\left(2^3\right)^3=5^8\cdot2^9\)
4, \(25^6\cdot125^3=\left(5^2\right)^3\cdot\left(5^3\right)^3=5^6\cdot5^9=5^{15}\)
5,\(625^5:25^7=\left(5^4\right)^5:\left(5^2\right)^7=5^{20}:5^{14}=5^6\)