(23^2018 * 2^2017) : [(46^2)^5]^201

Răspuns :

(23^2018 * 2^2017) : [(46^2)^5]^201 = 
(23^2018 * 2^2017) : {[( 2 * 23)^2]^5}^201 =
(23^2018 * 2^2017) : (2^2010 * 23^2010) =
23^8 * 2^7 
(23^2018 × 2^2017) : [(46^2)^5]^201 =

= (23^2018 × 2^2017) :(46^2)^1005 =

= (23^2018 × 2^2017): 46^2010 =

= (23^2018 × 2^2017) :(23×2)^2010=

= (23^2018 × 2^2017) : (23^2010×2^2010) =

= 23^20018:23^2010 × 2^2017:2^2010 =

= 23^8 × 2^7