Sure, let's evaluate each of the expressions one by one.
1. To find [tex]\( 6^2 \)[/tex]:
[tex]\[ 6^2 = 6 \times 6 = 36 \][/tex]
So, [tex]\( 6^2 = 36 \)[/tex].
2. To find [tex]\( 8^2 \)[/tex]:
[tex]\[ 8^2 = 8 \times 8 = 64 \][/tex]
So, [tex]\( 8^2 = 64 \)[/tex].
3. To find [tex]\( 15^2 \)[/tex]:
[tex]\[ 15^2 = 15 \times 15 = 225 \][/tex]
So, [tex]\( 15^2 = 225 \)[/tex].
Therefore, the filled-in equations are:
[tex]\[
\begin{aligned}
6^2 & = 36, \\
8^2 & = 64, \\
15^2 & = 225.
\end{aligned}
\][/tex]
