Viết các lũy thừa sau thành tích các lũy thừa
a)24^8 b)30^5 c) 44^7 d) 22^6 e) 21^8 f) 42^6 g)34^15 h)50^7 i) 46^5 l) 111^5
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7^56 = 7^ ( 6 +50) = 7^6 . 7^50
14^7 = ( 2.7)^7 = 2^7 . 7^7
10^15 = ( 2.5 )^15 = 2^5 . 5^15
27^7 = ( 3.9)^7 = 3^7 . 9^7
35^9 = ( 5.7 )^9 = 5^9 . 7^9
12^5 = ( 3.4 )^5 = 3^5 . 4^5
14^3 = ( 2.7 )^3 = 7^3 . 2^3
a) 75:72=75-2=73
b) 77:76=77-6=7
c) 78:78=78-8=70=1
d) 75:7=75-1=76
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.
\(987=900+80+7\\ =9\times100+8\times10+7\\ =9\times10^2+8\times10^1+7\times10^0\)
\(2021=2000+20+1\\ =2\times1000+2\times10+1\times1\\ =2\times10^3+2\times10^1+1\times10^0\)
\(abcde=a\times10000+b\times1000+c\times100+d\times10+e\times1\\ =a\times10^4+b\times10^3+c\times10^2+d\times10^1+e\times10^0\)
a)=(-5)6=56
b)=(-6)3.(-7)3=[(-6)(-7)]3=423
c)=(-3).(-3)4.(-7)3(-7)2.(-2).(-2)4
=(-3)5.(-7)5.(-2)5
=[(-3)(-7)(-2)]5
=(-42)5
a) 24^8 = ( 3.8)^8 = 3^8 . 8^8
30^5 = ( 6.5 )^5 = 6^5.5^5
44^7 = (4.11)^7 = 4^7 . 11^7
22^6 = ( 2.11 )^6 = 2^ 6 .11^6
21^8 = ( 3.7 )^8 = 3^8 . 7^8
42^6 = ( 6 . 7 )^6 = 6 ^6 . 7^6
34^15 = ( 17 .7 )^15 = 17^15 . 7^15
50^7 = ( 2.25)^7 = 2^7 . 25^7
46^5 = ( 2.23)^5 = 2^25 . 23^25
111^5 = ( 3.37)^5 = 3^5 . 37^5