To simplify the expression \((a^4)(a^3)\), you apply the rule of exponents which states that when multiplying terms with the same base, you add their exponents:

\[
(a^4)(a^3) = a^{4+3} = a^7
\]

So, the simplified expression is:

\[
a^7
\]

Would you like more details or have any questions?

Here are 5 related questions to further your understanding:
1. What is the result of \((b^5)(b^2)\)?
2. How would you simplify \((x^3)(x^6)\)?
3. What happens when you multiply \((a^2)(a^0)\)?
4. How does the exponent rule apply to \((a^4)(a^{-2})\)?
5. Can you simplify the expression \((a^5)(a^3)(a^2)\)?

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

Learn how to simplify the exponential expression (a^4)(a^3) by applying the exponent multiplication rule. This problem helps students understand the basics of exponent manipulation in algebra, suitable for Grades 6-8.

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