To determine the result of the given expression [tex]\( x \cdot x \cdot x \cdot x \cdot x \)[/tex], let's follow a step-by-step process, keeping in mind the properties of exponents:
1. Understand Repeated Multiplication: The expression [tex]\( x \cdot x \cdot x \cdot x \cdot x \)[/tex] involves multiplying the variable [tex]\( x \)[/tex] by itself five times.
2. Exponent Properties: When you multiply a number by itself multiple times, you can express it using an exponent. The general form is [tex]\( x \cdot x \cdot x \cdot \cdots \cdot x \)[/tex] (n times) which is written as [tex]\( x^n \)[/tex].
3. Apply This to Our Expression: In our expression, [tex]\( x \cdot x \cdot x \cdot x \cdot x \)[/tex], the variable [tex]\( x \)[/tex] is multiplied by itself 5 times. Hence, this can be written using an exponent as:
[tex]\[
x^5
\][/tex]
So, the simplified form of [tex]\( x \cdot x \cdot x \cdot x \cdot x \)[/tex] is [tex]\( x^5 \)[/tex]. Therefore, the result is [tex]\( \boxed{x^5} \)[/tex].
