Question

simplificar:

2^5.3^2.2^3.3^5.5^2/ (2.3)^6

Answer 1

2^5.3^2.2^3.3^5.5^2
   (2.3)^6

2^(5+3).3^(2+5).5^2 . 
            2^6. 3^6 

2^8.3^7.5^2 .2^-6.3^-6 ==> 2^(8-6).3^(7-6) . 5^2

2^2. 3.5^2 ==>  4.3.25 ==> 300

Answer 2

.
$\frac{2^5.3^2.2^3.3^5.5^2}{2^6.3^6} = \\ \\ \frac{2^5.2^3.3^2.3^5.5^2}{2^6.3^6} = \\ \\ \frac{2^{5+3}.3^{2+5}.5^2}{2^6.3^6} = \\ \\ \frac{2^8.3^7.5^2}{2^6.3^6} = \\ \\ 2^{8-6}.3^{7-6}.5^2 \\ \\ 2^2.3.5^2= \\ \\ 4.3.25=300$