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) \(\sqrt{144}-\sqrt{81}+\sqrt{\dfrac{169}{25}}=12-9+\dfrac{13}{5}=\dfrac{28}{5}\)
2) \(\dfrac{20^3\cdot\left(-49\right)^2}{14^3\cdot5^4}=\dfrac{8000\cdot2401}{2744\cdot625}=\dfrac{19208000}{1715000}=\dfrac{19208}{1715}=\dfrac{56}{5}\)
3) \(-1\dfrac{1}{2}x-\left(\dfrac{3}{4}\right)^2=1\Leftrightarrow\dfrac{-3}{2}x-\dfrac{9}{16}=1\Leftrightarrow\dfrac{-3}{2}x=\dfrac{25}{16}\Leftrightarrow x=\dfrac{-25}{24}\)
4) \(\dfrac{x-2}{2023}=\dfrac{2023}{x-2}\Leftrightarrow\left(x-2\right)^2=2023^2\Leftrightarrow x-2=2023\Leftrightarrow x=2025\)