To solve the expressions in the table, let's break them down step by step:
1. Evaluate [tex]\(1 - 3\)[/tex]:
[tex]\[
1 - 3 = -2
\][/tex]
2. Next, compute [tex]\((-2)^3\)[/tex]:
[tex]\[
(-2)^3 = (-2) \times (-2) \times (-2) = -8
\][/tex]
3. Evaluate [tex]\((-1)^5\)[/tex]:
[tex]\[
(-1)^5 = -1
\][/tex]
4. Finally, compute [tex]\((-1)^{10}\)[/tex]:
[tex]\[
(-1)^{10} = 1
\][/tex]
Now let's put these results into the table format provided:
\begin{tabular}{|c|c|c|}
\hline
& & \\
\hline
1-3 & & \\
\hline
(-1)^5 & & (-1)^{10} \\
\hline
\end{tabular}
Evaluating them, we get:
\begin{tabular}{|c|c|c|}
\hline
& & \\
\hline
-2 & -8 & \\
\hline
-1 & & 1 \\
\hline
\end{tabular}
Thus, the step-by-step solution and final values for the expressions are:
[tex]\[
\begin{array}{|c|c|c|}
\hline
2 & & \\
\hline
-2 & & \\
\hline
-1 & & 1 \\
\hline
\end{array}
\][/tex]
