Question

$( 4^{31} +6*32^{12}-5* 16^{15} ) : ( 8^{21} -5* 8^{20})-1$

Answer 1

(4³¹+6*32¹²-5*16¹⁵) :( 8²¹ -5 * 8²⁰) -1=
=[(2²)³¹+2*3*(2⁵)¹²-5*(2⁴)¹⁵) :[( 2³)²¹ -5 * (2³)²⁰] -1=
=(2⁶²+3*2⁶¹-5*2⁶⁰) :( 2⁶³ -5 * 2⁶⁰) -1=
=[2⁶⁰(2²+3*2¹-5)} :[ 2⁶⁰(2³ -5 )] -1=
=[2⁶⁰(4+6-5)] :(2⁶⁰*3) -1=
=(2⁶⁰*5) :(2⁶⁰*3) -1=
=5/3-1=(5-3)/3=2/3