Question

7.- Descompón y simplifica.

Answer 1

Respuesta:

${3}^{2} = 9$

Explicación paso a paso:

$\frac{ {15}^{7} \times {6}^{4} \times {2}^{3} }{ {10}^{7} \times {3}^{9} } \\ = \frac{ {(5 \times 3)}^{7} \times {6}^{4} \times {2}^{3} }{ {(5 \times 2)}^{7} \times {3}^{9} } \\ = \frac{ {5}^{7} \times {3}^{7} \times {6}^{4} \times {2}^{3} }{ {5}^{7} \times {2}^{7} \times {3}^{9} } \\ = \frac{ {6}^{4} }{ {2}^{4} \times {3}^{2} } \\ = \frac{ {(3 \times 2)}^{4} }{ {2}^{4} \times {3}^{2} } \\ = \frac{ {3}^{4} \times {2}^{4} }{ {2}^{4} \times {3}^{2} } \\ = {3}^{2} \\ = 9$