Question

1. For L₁ = {a, bb,c} and L₂ = {ac,ca}, calculate L₁L₂ ,   L₁ ∪L₂, and L₁³.

Answer 1

For L1 = {a, bb,c} and L2 = {ac,ca}, calculate L1L2 , L1∪L2, and L13.

L1L2 = {aac,aca,bbac,bbca,cac,cca}
L1∪L2 = {a, bb,c, ac, ca}
L1^3 = {aaa, aabb, aac, abba, abbbb, abbc, aca, acbb, acc,
        bbaa, bbabb, bbac, bbbba, bbbbbb, bbbbc, bbca, bbcbb, bbcc,
        caa, cabb, cac, cbba, cbbbb, cbbc, cca, ccbb, ccc}