Question

Ex 17 b, d, g va rog ofer 50 puncte

Answer 1

$b) \frac{ {2}^{6} }{( {2}^{ - 5} \times 8) ^{ - 2} } = \frac{ {2}^{6} }{ {2}^{4} } = {2}^{6 - 4} = {2}^{2} = 4$

$d) \frac{ {5}^{5} \times {25}^{ - 2} }{ {5}^{ - 3} \times 125 } = \frac{ {5}^{5} \times {5}^{ - 4} }{ {5}^{ - 3} \times {5}^{3} } = \frac{ {5}^{2} \times {5}^{ - 4} }{ {5}^{ - 3} } = \frac{5 ^{2} }{5} = 5$

$g) \frac{ {15}^{ - 3} }{ {9}^{ - 2} \times {125}^{ - 1} } = \frac{ {9}^{2} \times 125 }{ {15}^{3} } = \frac{81 \times 125}{3375} = \frac{10125}{3375} = \frac{10125 : 3375}{3375 : 3375} = \frac{3}{1} = 3$