To simplify \((a^3)(a^5)\), you apply the rule of exponents which states that when multiplying powers with the same base, you add the exponents.

\[
(a^3)(a^5) = a^{3+5} = a^8
\]

Thus, \((a^3)(a^5)\) simplifies to \(a^8\).

Would you like more details or have any questions?

Here are 5 related questions:
1. How would you simplify \((a^2)(a^4)(a^3)\)?
2. What is the result of \((x^5)(x^7)\)?
3. How do you simplify \((b^6)(b^{-2})\)?
4. What happens when you multiply powers with different bases?
5. How would you simplify \((m^3)(n^3)\)?

**Tip:** When multiplying exponents with the same base, always remember to add the exponents!

Learn how to simplify the expression (a^3)(a^5) by applying the product of powers rule in algebra. This step-by-step solution covers exponentiation concepts and is suitable for students in Grades 6-8.

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