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\(\dfrac{36^4\cdot125}{2^8\cdot5^4\cdot3^6}=\dfrac{2^8\cdot3^8\cdot5^3}{2^8\cdot5^4\cdot3^6}=3^2\cdot\dfrac{1}{5}=\dfrac{9}{5}\)
= ( 2^2 . 3^2)^4 . 5 ^ 3 / 2^8.5^4.3^6
= 2^8 . 3^8 . 5^3 / 2^8 . 5^4 . 3^6
=3^2/5
= 9/5
Chúc bạn học tốt ^^ !!
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Theo bài ra , ta có :
\(8.5^{2n}=200\)
\(\Rightarrow5^{2n}=25\)
\(\Rightarrow5^{2n}=5^2\)
\(\Rightarrow2n=2\)
\(\Rightarrow n=1\)
Vậy \(n=1\)
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\(\dfrac{4^5\cdot10\cdot5^6+25^5\cdot2^8}{2^8\cdot5^4+5^7\cdot5^2}\\ =\dfrac{\left(2^2\right)^5\cdot2\cdot5\cdot5^6+\left(5^2\right)^5\cdot2^8}{2^8\cdot5^4+5^7\cdot5^2}\\ =\dfrac{2^{10}\cdot2\cdot5\cdot5^6+5^{10}\cdot2^8}{2^8\cdot5^4+5^7\cdot5^2}\\ =\dfrac{2^{11}\cdot5^7+5^{10}\cdot2^8}{2^8\cdot5^4+5^7\cdot5^2}\\ =\dfrac{2^8\cdot5^7\left(2^3+5^3\right)}{2^5\cdot5^4\left(2^3+5^3\right)}\\ =\dfrac{2^8\cdot5^7}{2^5\cdot5^4}\\ =2^3\cdot5^3\\ =8\cdot125\\ =1000\)
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8,53 nha bạn (bỏ hết những số 3 còn lại, chỉ đề lại 1 số)
HOK T~
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\(\text{Ta có: |2x + 0.5| = 8.5 }\)
\(\Leftrightarrow\orbr{\begin{cases}2x+0,5=8,5\\2x+0,5=-8,5\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}2x=8,5-0,5\\2x=-8,5-0,5\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}2x=8\\2x=-9\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=8:2\\x=-9:2\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=4\\x=-4,5\end{cases}}\)