Question

Simplificar la expresión:

Answer 1

Respuesta:

$G = \frac{ {2}^{17} \times {3}^{18} \times {2}^{19} \times {3}^{20} \times {2}^{21} \times {3}^{22} }{ {3}^{21} \times {2}^{27} \times {3}^{38} \times {2}^{28} } \\ G = \frac{ {2}^{17 + 19 + 21} \times {3}^{18 + 20 + 22} }{ {3}^{21 + 38} \times {2}^{27 + 28} } \\ G = \frac{ {2}^{57} \times {3}^{60} }{ {3}^{59} \times {2}^{55} } \\ G = {2}^{57 - 55} \times {3}^{60 - 59} \\ G = {2}^{2} \times 3 \\ G = 4 \times 3 \\ G = 12$