Explicație pas cu pas:
[tex]( \frac{ - {3}^{2} }{ {5}^{2} } ) \div 0.9 = - (\frac{ {3}^{2} }{25}) \div \frac{9}{10} = \\ \\ = - \frac{ {3}^{2} }{25} \times \frac{10}{9} = - \frac{ {3}^{2} }{25} \times \frac{10}{ {3}^{2} } = - \frac{10}{25} = - \frac{2}{5} [/tex]
[tex]( - 1 + \frac{3}{2} )^{ - 2} = ( \frac{ - 2 + 3}{2 } )^{ - 2} = ( \frac{1}{2} )^{ - 2} = \\ = {2}^{2} = 4[/tex]
[tex]( - 1 + \frac{2}{3} )^{3} = ( \frac{ - 3 + 2}{3} )^{3} = ( - \frac{1}{3} )^{3} = - \frac{1}{27} [/tex]
[tex]( - 0.1) ^{ - 2} + {5}^{0} = ( - \frac{1}{10} ) ^{ - 2} + 1 = \\ \\ = ( - 10) ^{2} + 1 = 100 + 1 = 101[/tex]
[tex]( - 1 + \frac{3}{2} ) ^{ - 2} = ( \frac{ - 2 + 3}{2} ) ^{ - 2} = ( \frac{1}{2} )^{2} = {2}^{2} = 4[/tex]
[tex]( - 1 + \frac{2}{3} ) ^{ - 3} = ( \frac{ - 3 + 2}{3} ) ^{ - 3} = ( - \frac{1}{3} )^{ - 3} = \\ \\ = ( - 3)^{3} = - 27[/tex]
