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To simplify the expression \( x^5 \cdot x \), you can apply the **Product of Powers Property**, which states that:

\[
x^a \cdot x^b = x^{a + b}
\]

Here, \( a = 5 \) and \( b = 1 \) (since \( x \) is the same as \( x^1 \)).

Thus, the expression simplifies as follows:

\[
x^5 \cdot x = x^{5+1} = x^6
\]

So the simplified expression is:

\[
x^6
\]

Would you like more details, or do you have any questions?

Here are 5 related questions to explore:

1. How do you simplify expressions with different bases, like \( x^2 \cdot y^3 \)?
2. What is the rule for dividing exponents, such as \( x^7 \div x^2 \)?
3. How do you simplify powers of powers, such as \( (x^3)^2 \)?
4. How do you simplify expressions with negative exponents, like \( x^{-4} \)?
5. What happens when an exponent is zero, like \( x^0 \)?

**Tip**: When multiplying terms with the same base, just add the exponents!

Learn how to simplify the exponential expression x^5 * x using the Product of Powers Property. This step-by-step solution demonstrates how to add the exponents when multiplying terms with the same base. Suitable for students in Grades 6-8.

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