Question

\(3 x \cdot 3 x \cdot 3 x \cdot 3 x \cdot 3 x\)

Short answer

The result of the given multiplication written in exponential form as \(3^5\) is 243.

Step-by-step solution

Identify the Base and Exponent

The base is the number being multiplied, that is \(3\). The exponent is the number of times the base is being multiplied by itself, and from the above equation, counting instances of \(3\), the exponent is \(5\).

Write in Exponential Form

Now that we have identified the base as \(3\) and the exponent as \(5\), this multiplication can be written in exponential form, which is \(3^5\).

Evaluate the Exponential Expression

To calculate the result of \(3^5\) we multiply \(3\) by itself five times. Therefore, \(3^5 = 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 = 243\).