Use the first five terms of the binomial theorem to approximate (−1.4)8.

Answer 1

the answer will be positive because you have a negative number raised to an even power

eliminating the negative sign...

(1.4)^8=(1+0.4)^8=

1^8+8*1^7*0.4+28*1^6*0.4^2+56*1^5*0.4^3+70*1^4*0.4^4=

1+3.2+4.48+3.584+1.792=

14.056

if you used one more term you would get 14.62944

two more terms gives 14.744128

three more terms gives 14.757235

four more terms gives 14.75789056, the exact answer