Question

2^15 + 2^16 + 2^17 + 2^18=

Answer 1

2^15+2^16+2^17+2^18=
=2^15+(2^15 *2)+(2^15*2^2)+(2^15*2^3)=
wyciagam 2^15 przed nawias:
=2^15*(1 + 1*2 + 1*2^2 +1*2^3)=
=2^15*(1+ 2 + 4 + 8)=
=2^15 * 15

Answer 2

2^15 + 2^16 + 2^17 + 2^18=2^15(1+2^1+2^2+2^3)=2^15(1+2+4+8)=2^15(15)=491520=4,9152*10^5