Chapter 3 - Determinants - 3.3 Properties of Determinants - 3.3 Exercises - Page 126: 51

$|A^{2}|=25$ , $|B^{2}|=9$, $|A^{3}|=-125$ and $|B^{4}|=81$

For the square matrices A and B of order 4 with $|A|=-5$ and $|B|=3$ We have: $|A^{2}|=|A||A|=25$ , $|B^{2}|=|B||B|=9$, $|A^{3}|=|A||A||A|=-125$ and $|B^{4}|=|B^{2}||B^{2}|=81$