Question

(2^1999-2^1998-2^1997) : ( - 4 )^998

Answer 1

( 2¹⁹⁹⁹ - 2¹⁹⁹⁸ - 2¹⁹⁹⁷ ) : 4⁹⁹⁸ = 2

= 2¹⁹⁹⁷ x  ( 2² - 2 ¹ - 1 ) : 2²ˣ⁹⁹⁸ =

= 2¹⁹⁹⁷ x ( 4 - 2 - 1 ) : 2¹⁹⁹⁶ =

= 2¹⁹⁹⁷ x 1  : 2¹⁹⁹⁶ =

= 2 ⁽ ¹⁹⁹⁷ ⁻ ¹⁹⁹⁶ ⁾ =

= 2¹ =

= 2  

Answer 2

(2^1999-2^1998-2^1997) : ( - 4 )^998 =

2^1997×(2^2 - 2 - 1) : (-2^2)^998 =

2^1997 × 1 × (-2)^ 1996 =

2 ^ (1997 -1996) =

2^1 =

2