Explicație pas cu pas:
[tex] ({ \frac{4}{9} })^{4} \div ( {0.(6))}^{7} = \\ \frac{ {4}^{4} }{ {9}^{4} } \div ( { \frac{6}{9}) }^{7} = \\ \frac{ {2}^{8} }{ {9}^{4} } \times \frac{ {9}^{7} }{ {6}^{7} } = \\ \frac{ {2}^{8} \times {9}^{3} }{( {2 \times 3)}^{7} } = \\ \frac{ {2}^{8} \times {3}^{6} }{ {2}^{7} \times {3}^{7} } = \\ \frac{2}{3} [/tex]
