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.

Learn how to simplify the expression x² • x⁷ • x⁸ using the exponent multiplication rule. This problem covers important algebraic concepts involving exponents and is suitable for students in Grades 7-9.

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