已知m+3n-5=0,求2的m+n次方×2的2n-m次方×2的m次方的值

问题描述:

已知m+3n-5=0,求2的m+n次方×2的2n-m次方×2的m次方的值

m+3n = 5
2^(m+n) x 2^(2n-m) x 2^m =
2^[(m+n) + (2n-m) + m] =
2^(m + 3n) =
2^5 = 32