Question

Cuanto es (2^5)(3^6)/(2^2)(3^2)(2^5)(4^6)÷(2^6)(3^5)​

Answer 1

Respuesta:

$\left(2^5\right)\left(3^6\right)\div\left(2^2\right)\left(3^2\right)\left(2^5\right)\left(4^6\right)\div \left(2^6\right)\left(3^5)=$

$=2^5\cdot \frac{3^6}{2^2}\cdot \:3^2\cdot \:2^5\cdot \frac{4^6}{2^6}\cdot \:3^5=$

$=2^{10}\cdot \frac{3^6}{2^2}\cdot \:3^7\cdot \frac{(2^{2})^6}{2^6}=$

$=\frac{2^{10}\cdot 3^6\cdot \:3^7\cdot \:2^{12}}{2^2\cdot \:2^6}=$

$=\frac{2^{22}\cdot 3^{13}}{2^8}=2^{14}\cdot 3^{13}$