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a) \(3^3 : 3^2\)=\(3^{3-2}=3^1\)
b) \(5^{4} : 5^{2}\)=\(5^{4-2}=5^2\)
c) \(8^{3} . 8^{2}\)=\(8^{3+2}=8^5\)
d) Cách 1:
\(5^{4} . 5^{3}: 5^{2}=5^{4+3}:5^2=5^7:5^2=5^{7-2}=5^5\)
Cách 2:
\(5^{4} . 5^{3}: 5^{2}=5^{4+3-2}=5^5\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a, 64 : 2 3 = 2 6 : 2 3 = 2 3
b, 243 : 3 4 = 3 5 : 3 4 = 3 1
c, 625 : 5 3 = 5 4 : 5 3 = 5 1
d, 7 5 : 343 = 7 5 : 7 3 = 7 2
e, 100000 : 10 3 = 10 5 : 10 3 = 10 2
f, 11 5 : 121 = 11 5 : 11 2 = 11 3
g, 243 : 3 3 : 3 = 3 5 : 3 3 : 3 = 3 1
h, 4 8 : 64 : 16 = 4 8 : 4 3 : 4 2 = 4 3
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a. \(3^4.3^5=3^9\)
\(16.2^9=2^4.2^9=2^{13}\)
\(16.32=2^4.2^5=2^9\)
b. \(12^8.12=12^9\)
\(243:3^4=3^5:3^4=3\)
\(10^9:10000=10^9:10^4=10^5\)
c. \(4.8^6.2.8^3=2^2.2^{18}.2.2^9=2^{30}\)
\(12^2.2.12^3.6=12^2.12.12^3=12^6\)
\(6^3.2.6^4.3=6^3.6.6^4=6^8\)
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213 . 45 . 82=213.(22)5.(23)2=213.210.26=213+10+6=219
1006 . 10004 . 100003=(102)6.(103)4.(104)3=1012.1012.1012=1012+12+12=1036
36 9 : 189=(36:18)9=29
245 : 65 . 88=(24:6)5.88=45.88=(22)5.(23)8=210.224=210+24=234
515 . 1253 : 625=515.(53)3.54=515.59.54=515+9+4=528
282014 : 72014 : 60=(28:7)2014 : 1=42014:1=42014
24 . 55 + 52 . 53=24.55+52+3=24.55+55=(24+1).55=25.55=52.55=52+5=57
7 . 39 + 310 + 51 . 38=7.3.38 + 32.38 + 51 . 38=21.38 + 9.38 + 51 . 38=(21+9+51).38=81.38=34.38=34+8=312
a, 3 2
b, 3 2
c, 3 1
d, 5 2
e, 10 3
f, 12 0