Question

efectuati aceasta problema​

Answer 1

Explicație pas cu pas:

$\Big[ {6}^{100} \cdot {2}^{50} + {\Big( {3}^{17}\Big)}^{10} + {25}^{37} \Big] : \Big[ {2}^{150} \cdot {3}^{100} + {\Big( {3}^{10} \Big)}^{17} + {5}^{74} \Big] =$

$= \Big[ {(2 \cdot 3)}^{100} \cdot {2}^{50} + {3}^{170} + {( {5}^{2} )}^{37} \Big] : \Big[ {2}^{150} \cdot {3}^{100} + {3}^{170} + {5}^{74} \Big]$

$= \Big( {2}^{100} \cdot {3}^{100} \cdot {2}^{50} + {3}^{170} + {5}^{74} \Big) : \Big({2}^{150} \cdot {3}^{100} + {3}^{170} + {5}^{74} \Big)$

$= \Big( {2}^{150} \cdot {3}^{100} + {3}^{170} + {5}^{74} \Big) : \Big({2}^{150} \cdot {3}^{100} + {3}^{170} + {5}^{74} \Big)$

$= \bf 1$

(observăm că cele două paranteze sunt egale)