a)
[tex] \frac{ {2}^{20} }{ {2}^{18} + {2}^{19} } = \frac{ {2}^{20} }{ {2}^{18} \times (1 + 2) } = \frac{ {2}^{20} }{ {2}^{18} \times 3 } = \frac{ {2}^{2} }{3} = \frac{4}{3} [/tex]
b)
[tex] \frac{ {5}^{21} - {5}^{20} }{ {5}^{21} } = \frac{ {5}^{20} \times (5 - 1) }{ {5}^{21} } = \frac{ {5}^{20} \times 4 }{ {5}^{21} } = \frac{4}{5} [/tex]
c)
[tex] \frac{ {3}^{15} + {3}^{17} }{ {3}^{18} } = \frac{ {3}^{15} \times ({3}^{2} + 1)}{ {3}^{18} } = \frac{ {3}^{15} \times 10 }{ {3}^{18} } = \frac{10}{ {3}^{3} } = \frac{10}{27} [/tex]
d)
[tex] \frac{ {7}^{13} }{ {7}^{13} - {7}^{12} } = \frac{ {7}^{13} }{ {7}^{12} \times (7 - 1) } = \frac{ {7}^{13} }{ {7}^{12} \times 6 } = \frac{7}{6} [/tex]
Sper că te-am ajutat!
