Respuesta:
opera la siguiente potencia
Explicación paso a paso:
[tex]\frac{3^2\cdot 5^7\cdot 3^7\cdot 5^2}{3^8\left(5^2\right)^4}[/tex]
[tex]=\frac{3\cdot \:5^7\cdot \:5^2}{\left(5^2\right)^4}\\\\=\frac{3\cdot \:5^7\cdot \:5^2}{\left(5^2\right)^4}:15\\\\=15[/tex]
[tex]\frac{\left(3\cdot 5\right)^7\cdot 3^2\cdot 5^{10}}{\left(5^7\right)^3\cdot 3^2}[/tex]
[tex]=\frac{\left(3\cdot \:5\right)^7\cdot \:5^{10}}{\left(5^7\right)^3}\\\\=\frac{\left(3\cdot \:5\right)^7\cdot \:5^{10}}{\left(5^7\right)^3}\\\\=\frac{2187}{625}[/tex]
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Respuesta:
opera la siguiente potencia
Explicación paso a paso:
[tex]\frac{3^2\cdot 5^7\cdot 3^7\cdot 5^2}{3^8\left(5^2\right)^4}[/tex]
[tex]=\frac{3\cdot \:5^7\cdot \:5^2}{\left(5^2\right)^4}\\\\=\frac{3\cdot \:5^7\cdot \:5^2}{\left(5^2\right)^4}:15\\\\=15[/tex]
[tex]\frac{\left(3\cdot 5\right)^7\cdot 3^2\cdot 5^{10}}{\left(5^7\right)^3\cdot 3^2}[/tex]
[tex]=\frac{\left(3\cdot \:5\right)^7\cdot \:5^{10}}{\left(5^7\right)^3}\\\\=\frac{\left(3\cdot \:5\right)^7\cdot \:5^{10}}{\left(5^7\right)^3}\\\\=\frac{2187}{625}[/tex]