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The expression to simplify is:

\[
(x^2)(x^5)
\]

To simplify this, use the **product of powers property**, which states that when multiplying two exponents with the same base, you add the exponents. In this case, the base is \(x\), so we add the exponents \(2\) and \(5\):

\[
x^2 \cdot x^5 = x^{2+5} = x^7
\]

Thus, the simplified expression is:

\[
x^7
\]

Would you like more details or have any further questions?

Here are 5 related questions to expand your understanding:
1. How do you simplify \( (x^3)(x^4) \)?
2. What happens if the exponents are negative, like \( (x^{-2})(x^5) \)?
3. How do you simplify expressions like \( (x^2)(y^5) \) where the bases are different?
4. What is the rule for dividing exponents with the same base, like \( \frac{x^5}{x^2} \)?
5. How do you handle powers of powers, like \( (x^3)^2 \)?

**Tip:** Always remember that the base of the powers must be the same to apply the product or quotient of powers rules.

Learn how to simplify the expression (x^2)(x^5) using the product of powers rule. This example highlights key algebraic concepts and is ideal for students in Grades 7-9.

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