Exhibit the languages L1 and L2 such that

L*1 ∩ L*2 ≠ ( L1 ∩ L2 )*

Note: L1 = L base 1 etc

-My attempt-

L1 = {a,b}

L2 = {a,ab}

L1 ∩ L2 = {a}

(L1 ∩ L2)* = {a}*

L1* ∩ L2* =/= {a}*

Is there any problem with my answer or does it needs more work.

Thanks