Question

已知a+3b=1，則2^a+8^b的最小值是______．

Answer 1

∵8^b=（2³）^b=2^3b，a+3b=1∴2^a+8^b=2^a+2^3b≥2

2a•23b

=2

2a+3b

=2

2

．
故答案為：2

2

．