Answer
$\det (4B)^3=768^3$
Work Step by Step
By using the property $P9$, we obtain:
$\det (4B)^3=\det(4B.4B.4B)=\det(4B).\det(4B).\det(4B)$
Since $B$ is $4 \times 4$ matrix, hence we get:
$\det (4B)=4^4\det (B)=256.3=768$
Hence here, $\det (4B)^3=768^3$
