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bài 11
\(6.6.6.6=6^4\) '\(b.5.15.15.15.3=15.15.15.15=15^4\)
\(c.81.3.3.3=3^4.3^3=3^7\)
bài 12.
\(a.765.5=153.5^2\)
\(b.837.7.7=93.21^2\)
\(c.568.8.2.4=71.8.2^6=71.2^9\)
1.
a) \(3^4\times3^5\times3^6=3^{4+5+6}=3^{15}\)
b) \(5^2\times5^4\times5^5\times25=5^2\times5^4\times5^5\times5^2=5^{2+4+5+2}=5^{13}\)
c) \(10^8\div10^3=10^{8-3}=10^5\)
d) \(a^7\div a^2=a^{7-2}=a^5\)
2.
\(987=900+80+7\\ =9\times100+8\times10+7\\ =9\times10^2+8\times10^1+7\times10^0\)
\(2021=2000+20+1\\ =2\times1000+2\times10+1\times1\\ =2\times10^3+2\times10^1+1\times10^0\)
\(abcde=a\times10000+b\times1000+c\times100+d\times10+e\times1\\ =a\times10^4+b\times10^3+c\times10^2+d\times10^1+e\times10^0\)
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, 6 9 : 6 7 = 6 9 - 7 = 6 2
b, 7 5 : 7 2 = 7 5 - 2 = 7 3
c, 11 8 : 11 3 : 11 2 = 11 8 - 3 - 2 = 11 3
d, x 8 : x 7 : x = x 8 - 7 - 1 = x 0 = 1