| Resolviendo |
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Descomponiendo las bases: |
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$M=\dfrac{15^2\, .\,25\,.\,49}{35^2\,.\,45^2}$ |
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$M=\dfrac{(3 \times 5)^2\, .\,5^2\,.\,7^2}{(5 \times 7)^2\,.\,(3^2\,.\,5)^2}$ |
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$M=\dfrac{3^2\,.\,5^2\, .\,5^2\,.\,7^2}{5^2\,.\,7^2 \,.\,3^{2(2)}\,.\,5^2}$ |
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Sumando exponentes de igual base: |
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$M=\dfrac{3^2\,.\,5^{(2+2)}\,.\,7^2}{3^4\,.\,5^{(2+2)}\,.\,7^2}$ |
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$M=\dfrac{3^2\,.\,5^4\,.\,7^2}{3^4\,.\,5^4\,.\,7^2}$ |
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Simplificando el 5, ya que tienen el mismo exponente: |
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$M=\dfrac{3^2}{3^4}$ |
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$M=\dfrac{1}{3^{4-2}}$ |
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$M=\dfrac{1}{3^2}$ |
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$M=\dfrac{1}{9}$ |
| Respuesta: |
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La solución es la Alternativa C |
