To simplify the expression \( x^4 \cdot x^{-2} \), you can use the rule of exponents:

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

In this case:

\[
x^4 \cdot x^{-2} = x^{4 + (-2)} = x^2
\]

So, the simplified expression is:

\[
x^2
\]

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

Here are five related questions to deepen your understanding:
1. How would you simplify \( x^5 \cdot x^3 \)?
2. What is the result of \( x^{-3} \cdot x^7 \)?
3. How do you simplify \( (x^2)^3 \)?
4. What is the value of \( x^0 \)?
5. How would you simplify \( \frac{x^6}{x^2} \)?

**Tip:** Remember, when multiplying powers with the same base, you add the exponents!

Learn how to simplify the expression x^4 • x^-2 using the rule of exponents. This tutorial covers essential algebraic concepts related to multiplying powers with the same base and is ideal for students in Grades 6-8.

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