2^2n-3+2^2n-2如何化简成3/2×2^2n-2

问题描述:

2^2n-3+2^2n-2如何化简成3/2×2^2n-2

2^(2n-3)+2^(2n-2)
=2^(-1)*2^(2n-2)+2^(2n-2)
=(1/2)*2^(2n-2)+2^(2n-2)
=(1/2+1)*2^(2n-2)
=3/2*2^(2n-2)