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\(\dfrac{9^{15}.8^{11}}{3^{29}.16^8}=\dfrac{\left(3^2\right)^{15}.\left(2^3\right)^{11}}{3^{29}.\left(2^4\right)^8}=\dfrac{3^{30}.2^{33}}{3^{29}.2^{32}}\)
Ta lấy vễ trên chia vế dưới
\(=3.2=6\)
\(\dfrac{2^{11}.9^3}{3^5.16^2}=\dfrac{2^{11}.\left(3^2\right)^3}{3^5.\left(2^4\right)^2}=\dfrac{2^{11}.3^6}{3^5.2^8}\)
Ta lấy vế trên chia vế dưới
\(=2^3.3=24\)
\(\dfrac{9^{15}.8^{11}}{3^{29}.16^8}=\dfrac{\left(3^2\right)^{15}.\left(2^3\right)^{11}}{3^{29}.\left(2^4\right)^8}=\dfrac{3^{30}.2^{33}}{3^{29}.3^{32}}=3.2=6\)
\(\dfrac{2^{11}.9^3}{3^5.16^2}=\dfrac{2^{11}.\left(3^2\right)^3}{3^5.\left(2^4\right)^2}=\dfrac{2^{11}.3^6}{3^5.2^8}=2^3.3=8.3=24\)
Bạn cần bài nào ạ? Nếu bạn cần giúp tất cả thì bạn tách ra từng CH khác nhau nhé!
\(5x\left(x-3\right)=\left(x-2\right)\left(5x-1\right)-5\\ \Leftrightarrow5x^2-15x=5x^2-11x+2-5\\ \Leftrightarrow4x=3\\ \Leftrightarrow x=\dfrac{3}{4}\)
\(c,x\left(\dfrac{1}{5}+\dfrac{1}{4}\right)-\left(\dfrac{1}{7}+\dfrac{1}{8}\right)=0\\ \Leftrightarrow\dfrac{9}{20}x-\dfrac{15}{56}=0\\ \Leftrightarrow x=\dfrac{15}{56}\cdot\dfrac{20}{9}=\dfrac{25}{42}\)
\(d,\left(2x-\dfrac{2}{3}\right)\left(x+0,5\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}2x=\dfrac{2}{3}\\x=-\dfrac{1}{2}\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{3}\\x=-\dfrac{1}{2}\end{matrix}\right.\)
\(4,\)
\(\left(-111\right):\left(-\dfrac{1}{11}\right)=1221\)
d: Ta có: \(\left(2x-\dfrac{2}{3}\right)\left(x+\dfrac{1}{2}\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}2x=\dfrac{2}{3}\\x=-\dfrac{1}{2}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{3}\\x=-\dfrac{1}{2}\end{matrix}\right.\)