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a, \(3^{15}:27=3^{15}:3^3=3^{15-3}=3^{12}\)
b, \(\left(5^{29}.5^{20}\right):5^{67}=5^{29+20}:5^{67}=5^{49}:5^{67}=5^{49-67}=5^{-18}\)
c, \(\left(8^{2008}+8^{2007}\right):8^{2007}=8^{2008}:8^{2007}+8^{2007}:8^{2007}=8^{2008-2007}+8^{2007-2007}=8^1+8^0=8+1=9\)
nhớ k đúng cho mình nha ^_^
a/ (26.16) :42
=(26.22) :(22)2
=28 : 24=24=16
b/ (510:625) : 25
= (510:54) :52
=56 : 52=53=625
c/ (81.243):3
= (34.35) :3
= 39 :3=38 =6561
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.
\(987=900+80+7\\ =9\times100+8\times10+7\\ =9\times10^2+8\times10^1+7\times10^0\)
\(2021=2000+20+1\\ =2\times1000+2\times10+1\times1\\ =2\times10^3+2\times10^1+1\times10^0\)
\(abcde=a\times10000+b\times1000+c\times100+d\times10+e\times1\\ =a\times10^4+b\times10^3+c\times10^2+d\times10^1+e\times10^0\)
a12 : a8 = a12 -8 = a4
a10 : a = a10- 1 = a9
a7 . a4 = a7+4 = a11
\(12^2.3.12^3.4=\left(4.3\right)^2.3.4=4^2.3^2.3.4=3^3.4^3=27.64=1728\)
\(12^2.3.12^3.4=12^5.3.4=\left(3.4\right)^5.3.4=3^5.4^5.3.4=3^6.4^6=729.4096=\text{2985984}\)
\(2.2^2.2^3.2^4.........2^{100}\)
\(=2^{1+2+3+4+......+100}\)
\(=2^{5050}\)
`@` `\text {Ans}`
`\downarrow`
`a)`
`16^3 = (4^2)^3 = 4^6`
`b)`
`25^6 = (5^2)^6 = 5^12`
`c)`
`81^5 = (9^2)^5 = 9^10`
`d)`
`27^5 = (3^3)^5 = 3^15`
`e)`
`64^3*16^3`
`= (4^3)^3*(4^2)^3`
`= 4^9*4^6`
`= 4^15`
_____
`@` Nâng lên lũy thừa
CT: `(a^m)^n=a^m*a^n = a^(m*n)`
ta có :
\(25^6:5^{10}=\left(5^2\right)^6:5^{10}=5^{12}:5^{10}=5^2=25\)