Question

Obtener el valor :
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Answer 1

RESOLUCIÓN:

$N = \frac{ {15}^{x + 2} \times {3}^{x} }{ {5}^{x + 1} \times {9}^{x} } \\ N = \frac{{5}^{x + 2} \times {3}^{x + 2} \times {3}^{x} }{ {5}^{x + 1} \times {3}^{x} \times {3}^{x} } \\ N = \frac{ {5}^{x + 2} \times {3}^{x + 2 + x} }{ {5}^{x + 1} \times {3}^{x + x} } \\ N = \frac{ {5}^{x + 2} \times {3}^{2x + 2} }{ {5}^{x + 1} \times {3}^{2x} } \\ N = {5}^{x + 2 - x - 1} \times {3}^{2x + 2 - 2x} \\ N = {5}^{1} \times {3}^{2} \\ N = 5 \times 9 \\ N = 45$

RESPUESTA:

N = 45