Răspuns:
[tex]1) \frac{2 \times {5}^{20} - 9 \times {5}^{19} }{ {5}^{18} } = \frac{2 \times {5}^{19} \times (5 - 9 \times 1) }{ {5}^{18} } = \frac{2 \times {5}^{19} \times ( - 4) }{ {5}^{18} } = \frac{ - 8 \times {5}^{19} }{ {5}^{18} } = \frac{ - 8 \times 5}{ {5}^{1} } = - 8[/tex]
[tex]2) = \frac{1}{4} \times 1 + ( \frac{1}{4} \times 6.25 ) ^{0.5} = \frac{1}{4} + ( \frac{625}{400}) ^{0.5} = \frac{1}{4} + ( \frac{25}{16} ) ^{ \frac{5}{10} } = \frac{1}{4} + \sqrt[10]{ \frac{(25}{16}) ^{5} } = \frac{1}{4} + \sqrt[ {2} ]{ \frac{25}{16} } = \frac{1}{4} + \frac{5}{4} = \frac{6}{4} [/tex]
