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Ta có: 2,5.5n-3.10+5n-6.5n-1
= (2.5 + 1-6).5n-30-1
= -2.5.5n - 31.
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Ta có:
\(\dfrac{2^5.15^3}{6^3.10^2}=\dfrac{2^5.3^3.5^3}{2^3.3^3.2^2.5^2}=\dfrac{8.1.5}{8.1.1.1}=\dfrac{40}{8}=5\)
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a) \(\dfrac{2^4.2^6}{\left(2^5\right)^2}.2008\)
\(=\dfrac{2^{\left(4+6\right)}}{2^{5.2}}.2008\)
\(=\dfrac{2^{10}}{2^{10}}.2008\)
\(=1.2008\)
\(=2008\)
b) \(\dfrac{2^5.15^3}{6^3.10^2}\)
\(=\dfrac{2^5.\left(3.5\right)^3}{\left(2.3\right)^3.\left(2.5\right)^2}=\dfrac{2^5.3^3.5^3}{2^3.3^3.2^2.5^2}=\dfrac{2^5.3^3.5^3}{2^5.3^3.5^2}=\dfrac{5^3}{5^2}=5\)
Chúc bạn học tốt
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\(\dfrac{2^5.15^3}{6^3.10^2}=\dfrac{2^5.3^3.5^3}{2^3.3^3.2^2.5^2}=5\)
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\(=\frac{2^{10}}{2^{10}}-\frac{2^5.\left(3.5\right)^3}{\left(2.3\right)^3.\left(2.5\right)^2}=1-\frac{2^5.3^3.5^3}{2^3.3^3.2^2.5^2}=1-\frac{2^5.3^3.5^3}{2^5.3^3.5^2}=1-5=-4\)
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\(\frac{2^4.2^6}{\left(2^5\right)^2}-\frac{2^5.15^3}{6^3.10^2}\)
\(=\frac{2^{10}}{2^{10}}-\frac{2^5.5^3.3^3}{2^3.3^3.2^2.5^2}\)
\(=1-\frac{2^5.5^3.3^3}{2^5.3^3.5^2}\)
\(=1-5\)
\(=-4\)
Học tốt
Trả lời:
\(\frac{2^4.2^6}{\left(2^5\right)^2}-\frac{2^5.15^3}{6^3.10^2}\)
\(=\frac{2^{10}}{2^{10}}-\frac{2^5.\left(3.5\right)^3}{\left(2.3\right)^3.\left(2.5\right)^2}\)
\(=1-\frac{2^5.3^3.5^3}{2^3.3^3.2^2.5^2}\)
\(=1-\frac{2^5.3^3.5^3}{2^5.3^3.5^2}\)
\(=1-5\)
\(=-4\)
Học tốt
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Thay n = 5 vào biểu thức A ta được:
A = 105+1 - 3 . 105 + 55 . 25
A = 106 - 3 . 105 + 105
A = 105(10 - 3 + 1)
A = 105 . 8
A = 100000 . 8 = 800000
Vậy A = 800000 nếu n = 5
Chúc bn học tốt!
\(\left(\frac{1}{5}\right)^3.10^3\)
\(=\left(\frac{1}{5}.10\right)^3\)
\(=2^3\)
\(=8\)