Sure! Let’s analyze the given information and solve the problem step-by-step:
1. Potencia indicada: The indicated power is [tex]\( 3^6 \)[/tex].
Let's break that down:
- Base: The base of the power is the number that is being multiplied by itself. In this case, the base is 3.
- Exponente: The exponent tells us how many times to multiply the base by itself. Here, the exponent is 6.
- Factores iguales: These are the equal factors that result from the exponent. Since our base is 3 and the exponent is 6, it means we multiply 3 by itself 6 times.
Mathematically, we can express this as:
[tex]\[ 3^6 = 3 \times 3 \times 3 \times 3 \times 3 \times 3 \][/tex]
Next, we evaluate the power:
[tex]\[
3^6 = 3 \times 3 \times 3 \times 3 \times 3 \times 3 = 729
\][/tex]
Thus, the potencia (power) is 729.
To summarize the filled table:
[tex]\[
\begin{tabular}{|l|l|l|l|l|}
\hline
\text{Potencia} & \text{Base} & \text{Exponente} & \text{Factores iguales} & \text{Potencia} \\
\text{indicada} & & & & \\
\hline
3^6 & 3 & 6 & [3, 3, 3, 3, 3, 3] & 729 \\
\hline
\end{tabular}
\][/tex]
So here is the detailed breakdown:
- The base is 3.
- The exponent is 6.
- The equal factors are [3, 3, 3, 3, 3, 3], indicating that 3 is multiplied by itself 6 times.
- The final value of the power [tex]\( 3^6 \)[/tex] is 729.
By filling the table according to our steps, we illustrate clearly each part of the given exponentiation and its evaluation.
