Simplify the expression
(10^4 x 2^4) (10^3 x 2^3) / (10 x 2)^2

Question

Simplify the expression
(10^4 x 2^4) (10^3 x 2^3) / (10 x 2)^2

anonymous · Answer

$$\frac{ (10^4 x 2^4) (10^3 x 2^3) }{ (10 x 2)^2 }$$

jhonyy9 · Answer

10^4 *2^4 *10^3 *2^3          10^4 *2^4 *10^3 *2^3        
----------------------  = --------------------- = 
   (10*2)^2                                       10^2 *2^2                           

    10^2 *10^2 *2^2 *2^2 *10^3 *2^3
= --------------------------------  = 2^2 *2^2 *10^3 *2^3 = 2^4 *2^3 *10^3 =
                10^2 *2^2

= 2^(4+3) *10^3 = 2^7 *10^3

- so step by step for more easy understandably - ok. ?