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a)213
b)521
c)56
d)43
e)227
còn lại tự nghĩ,mệt lắm rùi
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)\(2.2.2.3.3=2^3.3^2\)
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) \(4^{10}.2^{30}=\left(2^2\right)^{10}.2^{30}=2^{2.10}.2^{30}=2^{20}.2^{30}=2^{20+30}=2^{50}\)
b) \(9^{25}.27^4.81^3=\left(3^2\right)^{25}.\left(3^3\right)^4.\left(3^4\right)^3=3^{3.25}.3^{3.4}.3^{4.3}=3^{75}.3^{12}.3^{12}=3^{75+12+12}=3^{99}\)
c) \(25^{50}.125^5=\left(5^2\right)^{50}.\left(5^3\right)^5=5^{2.50}.5^{3.5}=5^{100}.5^{15}=5^{100+15}=5^{115}\)
d) \(64^3.4^8.16^4=\left(4^3\right)^3.4^8.\left(4^2\right)^4=4^{3.3}.4^8.4^{2.4}=4^9.4^8.4^8=4^{9+8+8}=4^{25}\)
e) \(3^8:3^6=3^{8-6}=3^2\)
f) \(2^{10}:8^3=2^{10}:\left(2^3\right)^3=2^{10}:2^{3.3}=2^{10}:2^9=2^{10-9}=2\)
g) \(12^7:6^7=\left(12:6\right)^7=2^7\)
h_ \(21^5:81^3\)kết quả là số dư nên không tính ( đề sai )
a) \(2^5\cdot8^4\\ =2^5\cdot\left(2^3\right)^4\\ =2^5\cdot2^{12}\\ =2^{17}\)
b) \(25^6\cdot125^3\\ =\left(5^2\right)^6\cdot\left(5^3\right)^3\\ =5^{12}\cdot5^9\\ =5^{21}\)
c) \(625^3:25^7\\ =\left(5^4\right)^3:\left(5^2\right)^7\\ =5^{12}:5^{14}\\ =5^{-2}=\frac{1}{5^2}\)
d) \(4^{10}\cdot2^{30}\\ =\left(2^2\right)^{10}\cdot2^{30}\\ =2^{20}\cdot2^{30}\\= 2^{50}\)
e) \(9^{25}\cdot27^4\cdot81^3\\ =\left(3^2\right)^{25}\cdot\left(3^3\right)^4\cdot\left(3^4\right)^3\\ =3^{50}\cdot3^{12}\cdot3^{12}\\ =3^{74}\)
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
\(A.4^{10}.2^{30}=\left(2^2\right)^{10}.2^{30}=2^{20}.2^{30}=2^{50}\)
\(B.9^{25}.27^4.81^3=\left(3^2\right)^{25}.\left(3^3\right)^4.\left(3^4\right)^3=3^{50}.3^{12}.3^{12}=3^{74}\)
\(C.25^{50}.125^5=\left(5^2\right)^{50}.\left(5^3\right)^5=5^{100}.5^{15}=5^{115}\)
\(D.64^3.4^8.16^4=\left(2^6\right)^3.\left(2^2\right)^8.\left(2^4\right)^4=2^{18}.2^{16}.2^{16}=2^{50}\)
a) \(2.4.16.8=2.2^2.2^4.2^3=2^{1+2+4+3}=2^{10}\)
b) \(3^3.22^5.45=3^3.22^5.5.3^2=3^{3+2}.22^5=3^5.22^5=\left(3.22\right)^5=66^5\)
c) \(9.27.81=3^2.3^3.3^4=3^{2+3+4}=3^9\)
d) \(36.30.125=6^2.5.6.5^3=6^{2+1}.5^{3+1}=6^3.5^4\)
e) \(2.4.8.16.256=2.2^2.2^3.2^4.2^8=2^{1+2+3+4+8}=2^{18}\)
g) \(3.9.27.81.729=3.3^2.3^3.3^4.3^6=3^{1+2+3+4+6}=3^{16}\)
h) \(5.25.125.625.75=5.5^2.5^3.5^4.5^2.3=5^{1+2+3+4+2}.3=5^{12}.3\)
k) \(7.49.343.77=7.7^2.7^3.7.11=7^{1+2+3+1}.11=7^7.11\)