a) -36 b) 36
1) To simplify those expressions let's expand them to better grasp the result:
[tex]\begin{gathered} -6^2=-1\times6^2=-1\cdot36=-36 \\ \end{gathered}[/tex]When the minus sign is accompanying the number without parentheses, we can read it as -1 times the power. That's why -6²=-1 * 36 = -36
b) For the second power we can write out the following:
[tex](-6)^2=(-6)\cdot(-6)=36[/tex]2) Hence, we can state that the answers are -36 and 36