To simplify \( a^7 \times a^8 \), you can use the rule of exponents:

\[
a^m \times a^n = a^{m+n}
\]

Applying this rule:

\[
a^7 \times a^8 = a^{7+8} = a^{15}
\]

Thus, \( a^7 \times a^8 = a^{15} \).

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:
1. What happens if you multiply \( a^3 \times a^5 \)?
2. How do you handle division of exponents, like \( a^{10} \div a^4 \)?
3. What is the result of \( (a^7)^3 \)?
4. Can you explain the rule of zero exponents, such as \( a^0 \)?
5. How do negative exponents, like \( a^{-2} \), work?

**Tip:** When multiplying powers with the same base, always add their exponents.

Discover how to simplify the expression a^7 * a^8 using the laws of exponents. This problem covers multiplication of powers and applying the exponent rule a^m * a^n = a^(m+n). Perfect for students in Grades 6-8 looking to strengthen their understanding of exponents.

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