Answer
$A ^∗ ⊆ B^∗$.
Work Step by Step
-A string is in$ A ^∗$ if and only if it is a concatenation of an arbitrary number of strings in A.
-Because each string in A is also in B, it follows that a string in $A ^∗$ is also a concatenation of strings in B.
Hence, $A ^∗ ⊆ B^∗$.
