Alright, let's break down the given problem to understand how the solution is derived step-by-step.
The given expression is:
[tex]\[ x \cdot x \cdot x \cdot x \cdot x \][/tex]
This expression involves multiplying the variable [tex]\( x \)[/tex] by itself five times. When you multiply the same variable repeatedly, you can simplify the expression using the rules of exponents. Specifically, the rule for multiplying like bases is to add their exponents.
Here are the steps to simplify the expression:
1. Identify the number of times [tex]\( x \)[/tex] is being multiplied by itself:
- [tex]\( x \cdot x \cdot x \cdot x \cdot x \)[/tex]
2. Understand that multiplying [tex]\( x \)[/tex] by itself five times can be represented as [tex]\( x \)[/tex] with an exponent of 5:
- In mathematical notation, this is written as [tex]\( x^5 \)[/tex].
3. Rewrite the expression using the exponent:
- The expression [tex]\( x \cdot x \cdot x \cdot x \cdot x \)[/tex] simplifies to [tex]\( x^5 \)[/tex].
Therefore, the simplified form of the expression is:
[tex]\[ x^5 \][/tex]
So, the final result is:
[tex]\[ x^5 \][/tex]
