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\(a=4^5.9^4-2.\dfrac{6^9}{2^{10}}.3^8+6^8.20\)
Đề là như vầy đúng ko bn?
$\textbf{A)}$
$\dfrac{4^5\cdot9^4-2\cdot6^9}{2^{10}\cdot3^8+6^8\cdot20}$
$=\dfrac{(2^2)^5(3^2)^4-2(2\cdot3)^9}{2^{10}\cdot3^8+2^2\cdot5(2\cdot3)^8}$
$=\dfrac{2^{10}3^8-2^{10}3^9}{2^{10}3^8+2^{10}\cdot5\cdot3^8}$
$=\dfrac{2^{10}3^8(1-3)}{2^{10}3^8(1+5)}$
$=\dfrac{-2}{6}$
$=-\dfrac{1}{3}.$
\(B=\dfrac{2^{60}+2^{40}}{2^{50}+2^{30}}=\dfrac{2^{40}}{2^{30}}=2^{10}=1024\)
\(=\dfrac{2^{60}+2^{40}}{2^{50}+2^{30}}=2^{10}=1024\)
ta có : \(\dfrac{8^{20}+4^{20}}{4^{25}+64^5}=\dfrac{\left(2^3\right)^{20}+\left(2^2\right)^{20}}{\left(2^2\right)^{25}+\left(2^6\right)^5}=\dfrac{2^{60}+2^{40}}{2^{50}+2^{30}}=\dfrac{2^{40}\left(2^{20}+1\right)}{2^{30}\left(2^{20}+1\right)}\)
\(=\dfrac{2^{40}}{2^{30}}=2^{10}=1024\)
\(\dfrac{8^{20}+4^{20}}{4^{25}+64^5}=\dfrac{2^{60}+2^{40}}{2^{50}+2^{30}}=\dfrac{2^{10}+2^{10}}{1+1}=1024\)
=1024
=1024