Question

2减2的2次方减2的3次方减2的4次方减2的5次方减2的6次方减2的7次方减2的8次方减2的9次方加2的10次方的简算

Answer 1

2-2^2-2^3-2^4-2^5-2^6-2^7-2^8-2^9+2^10

=2-2^2-2^3-2^4-2^5-2^6-2^7-2^8+2^9

=2-2^2-2^3-2^4-2^5-2^6-2^7+2^8

=2-2^2-2^3-2^4-2^5-2^6+2^7

=2-2^2-2^3-2^4-2^5+2^6

=2-2^2-2^3-2^4+2^5

=2-2^2-2^3+2^4

=2-2^2+2^3

=2+2^2

=6 注：-2^9+2^10 =2^9*2-2^9*1=2^9