To solve [tex]\( 13^3 \)[/tex], we need to find the value of [tex]\( 13 \)[/tex] raised to the power of 3. This involves multiplying 13 by itself three times. Let's break it down step by step:
1. First multiplication:
[tex]\[
13 \times 13 = 169
\][/tex]
2. Second multiplication:
[tex]\[
169 \times 13
\][/tex]
To perform the second multiplication, we can use the standard multiplication method:
[tex]\[
\begin{array}{r}
169 \\
\times 13 \\
\hline
507 & \quad \text{(169 multiplied by 3)} \\
1690 & \quad \text{(169 multiplied by 10)} \\
\hline
2197
\end{array}
\][/tex]
So, the value of [tex]\( 13^3 \)[/tex] is:
[tex]\[
13^3 = 2197
\][/tex]
Hence, [tex]\( 13^3 = 2197 \)[/tex].
