Work Step by Step
If $A$ and $B$ are $n\times n$ matrices, then $det(AB)=det(A)det(B)$. Also $det(A^T)=det(A)$. Hence here $det(B^5)=det(B)^5=(-4)^5=-1024$.
You can help us out by revising, improving and updating this answer.Update this answer
After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.