(1+1/2)(1+1/2的2次方)(1+1/2的4次方)(1+1/2的8次方)+1/2的15次方
=（1-1/2）(1+1/2)(1+1/2的2次方)(1+1/2的4次方)(1+1/2的8次方)/（1-1/2）+1/2的15次方
=（1-1/2的2次方）(1+1/2的2次方)(1+1/2的4次方)(1+1/2的8次方)/（1-1/2）+1/2的15次方
=（1-1/2的4次方）(1+1/2的4次方)(1+1/2的8次方)/（1-1/2）+1/2的15次方
=（1-1/2的8次方)(1+1/2的8次方)/（1-1/2）+1/2的15次方
=(1-1/2的8次方)/(1+1/2的8次方)/（1/2）+1/2的15次方
=(1-1/2的16次方)*2+1/2的15次方
=2-1/2的15次方+1/2的15次方
=2.