Given:
a*b* b(a+ ((ab)*)* b*
sol:
a*b* b(a+((ab)*)* b*
=>a*b* b (a*+((ab)*)* b*
=>a*b* b (a*+(ab)*) b* (i.e.,((ab)*)*=(ab)* )
=>∈ b(∈+(∈))∈ (i.e.,any thing power closure it include empty string = ∈)
=>so the min string accepted by the regular expression is "b"