Question

2^101 : [(5^171 : 5^170 - 3)^98 + 2^105 : (2^3 x 2^4) + (2^11)^9] =

Answer 1

5^171:5^170 = 5,   (5-3)^98= 2^98
2^3x2^4 = 2^7
(2^11)^9 = 2^99 , deci in paranteza patrata o sa ai:

2^98+2^105:2^7+2^99 = 2^98+2^98 + 2^99, dam factor comun 2^98:
2^98(1+1+2)= 2^98x4

2^101:(2^98x4) = 2^3:4 = 8:4= 2