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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.
\(987=900+80+7\\ =9\times100+8\times10+7\\ =9\times10^2+8\times10^1+7\times10^0\)
\(2021=2000+20+1\\ =2\times1000+2\times10+1\times1\\ =2\times10^3+2\times10^1+1\times10^0\)
\(abcde=a\times10000+b\times1000+c\times100+d\times10+e\times1\\ =a\times10^4+b\times10^3+c\times10^2+d\times10^1+e\times10^0\)
\(2^3\cdot2^2\cdot2^x\cdot x^5\cdot=2^{5+x}\cdot x^5\)
\(10^2\cdot2^{10}\cdot10^3\cdot10^5=10^{10}\cdot2^{10}=2^{10}\cdot5^{10}\cdot2^{10}=4^{10}\cdot5^{10}=20^{10}\)
\(a^3\cdot a^2\cdot a^5=a^{3+2+5}=a^{10}\)
P/s: Mình chỉ hiểu ý bạn như này!
a)23.22.24=2(3+2+4)=29
b)102.103.105=10(2+3+5)=1010
c)X.X5=X1.X5=X(1+5)=X6
d)a3.a2.a5=a(3+2+5)=a10
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:
\(5^{4} . 5^{3}: 5^{2}=5^{4+3-2}=5^5\)
a) 23 . 22 . 24
= 22+3+4
= 29
b) 102 . 103 . 105
= 102+3+5
= 1010
c) x . x5
= x1+5
= x6
d) a3 . a2 . a5
= a3+2+5
= a10
2^(10 : 64 x 16) = 2^[(10 x 16) : 64] = 2^(160 : 64) = 2^25
2^(10 x 8) = 2^80 3^(5 : 27) = 3^(5/27) 5^(2 x 125) = 5^250 6^(6 : 36) = 6^(1/6)
a. 2^3 . 2^2 . 2^4
= 2^9
b. 10^2 . 10^3 . 10^5
= 10^10
c. x. x^5
= x^6
d. a^3 . a^2 . a^5
= a^10
a) \(2^3.2^2.2^4\)
\(=2^{3+2+4}\)
\(=2^9\)
b) \(10^2.10^3.10^5\)
\(=10^{2+3+5}\)
\(=10^{10}\)
c) \(x.x^5=x^1.x^5=x^6\)
d) \(a^3.a^2.a^5=a^{3+2+5}=a^{10}\)