To simplify the expression $x^2 \cdot x^7 \cdot x^8$, you can use the rule of exponents that states:

$x^a \cdot x^b = x^{a+b}$

Applying this rule:

$x^2 \cdot x^7 \cdot x^8 = x^{2+7+8} = x^{17}$

Thus, the simplified expression is:

$x^{17}$

Would you like further explanation or have any questions?

Here are 5 related questions:

1. How do you simplify $x^3 \cdot x^4$?
2. What happens when you multiply powers with different bases, such as $x^2 \cdot y^7$?
3. How do you handle division of powers, like $\frac{x^8}{x^3}$?
4. What is the rule for raising a power to another power, like $(x^3)^4$?
5. Can you apply the exponent rule to fractions, such as $x^{-2} \cdot x^5$?

Tip: When multiplying powers with the same base, always add the exponents.