h1) \(\sqrt{144}-\sqrt{81}+\sqrt{\dfrac{169}{25}}\)
2) \(\dfrac{20^3.\left(-49\right)^2}{14^3.5^4}\)
3) \(-1\dfrac{1}{2}x-\left(\dfrac{3}{4}\right)^2=1\)
4) \(\dfrac{\left(x-2\right)}{2023}=\dfrac{2023}{x-2}\)
5) \(\dfrac{6^{15}.9^{10}}{3^{34}.2^{13}}\)
6) \(3^{x+1}=81\)
7) \(\left|3x+\dfrac{1}{2}\right|-\dfrac{2}{3}=1\)
8) \(\dfrac{2}{5}x-\dfrac{1}{3}=\dfrac{2}{3}\)
9) \(\left|\dfrac{-15}{6}\right|-\left|\dfrac{3}{18}\right|.\sqrt{81}+\sqrt{\dfrac{9}{64}}\)
1, \(=12-9+\dfrac{13}{5}=3+\dfrac{13}{5}=\dfrac{15+13}{5}=\dfrac{28}{5}\)
2, \(=\dfrac{5^3.4^3.7^2.7^2}{7^2.7.5^3.5}=\dfrac{7.4^3}{5}=\dfrac{448}{5}\)
3, \(=-\dfrac{3}{2}x-\dfrac{9}{16}+1=-\dfrac{3}{2}x+\dfrac{7}{16}\)
4, \(\left(x-2\right)^2=2023^2\Leftrightarrow\left[{}\begin{matrix}x=2025\\x=-2021\end{matrix}\right.\)