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\(4^{10}\cdot8^{15}\)
\(=\left(2^2\right)^{10}\cdot\left(2^3\right)^{15}\)
\(=2^{20}\cdot2^{45}\)
\(=2^{30+45}\)
\(=2^{75}\)
\(a;4^{10}\cdot8^{15}=2^{20}\cdot2^{45}=2^{65}\)
\(b;4^{15}\cdot5^{30}=2^{30}\cdot5^{30}=10^{30}\)
a)\(5x\cdot5x\cdot5x=\left(5x\right)^3\)
b) \(x^1\cdot x^2\cdot...\cdot x^{2006}=x^{1+2+3+...+2006}=x^{2013021}\)
c)\(x\cdot x^4\cdot x^7\cdot...\cdot x^{100}=x^{1+4+7+...+100}=x^{101\cdot17}=x^{1717}\)
a) \(8^5.8^2=8^7=\left(2^3\right)^7=2^{21}\)
b) \(2^7.5^7=10^7\)
c) \(9^2.2^2=18^2\)
d) \(\left(15+5\right)^2.\left(5+5\right)=20^2.10=4000=\sqrt{4000}^2\)
a)33 . 92
= 33 . 34
=33+4
=37
b) 512.7-511.10
= 512.7 - 512.2
= 512.(7-2)
= 512.5
=513
c) x1.x2.x3...x100
= x(100+1).100:2
= x5050
Bài 1 :
a/ \(a^3.a^9=a^{3+9}=a^{12}\)
b/\(\left(a^5\right)^7=a^{5.7}=a^{35}\)
c/ \(\left(a^6\right).4.a^{12}=a^{24}.a^{12}.4=a^{24+12}.4=a^{36}.4\)
d/ \(\left(2^3\right)^5.\left(2^3\right)^3=2^{15}.2^9=2^{15+9}=2^{24}\)
e/ \(5^6:5^3+3^3.3^2\)
\(=5^3+3^5=125+243=368\)
i/ \(4.5^2-2.3^2\)
\(=2^2.5^2-2.3^2\)
\(=2^2.25-2^2.14\)
\(=2^2.\left(25-14\right)\)
\(=2^2.11\)
\(=4.11=44\)
a) 416
b) 6015
c) x5050
a,4^16
60^15
x^5050
tich cho minh
pheaeeeeeeeeeeeeeeeeeeeeeeeeeeee