计算(-2)的301次方+(-2)的300次方=a.1b.-2c.-2的300次方d.2的300次方计算:(1-1/2的2次方)(1-1/3的2次方).(1-1/2004的2次方)(1-1/2005的2次方)

Question

计算(-2)的301次方 + (-2)的300次方=
a.1 b.-2 c.-2的300次方 d.2的300次方
计算:(1-1/2的2次方)(1-1/3的2次方).(1-1/2004的2次方)(1-1/2005的2次方)

Answer 1

(-2)^301+(-2)^300
=(-2)*(-2)^300+(-2)^300
=(-2)*2^300+2^300
=(-2+1)*2^300
=-2^300
选c
=(1-1/2)*(1+1/2)*(1-1/3)*(1+1/3)*...*(1-1/2004)*(1+1/2004)*(1-1/2005)*(1+1/2005)
=(1/2)*(3/2)*(2/3)*(4/3)*...*(2003/2004)*(2005/2004)*(2004/2005)*(2006/2005)
=(1/2)*(2006/2005)
=1003/2005