Question

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

Answer 1

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

Answer 2

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. ?