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!