To simplify the expression \( 8^{-3} \cdot 8^{-5} \), use the rule for multiplying powers with the same base, which is to add the exponents:

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

Thus, the simplified expression is \( 8^{-8} \).

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Here are 5 related questions to practice:
1. Simplify \( 5^{-2} \cdot 5^{-3} \).
2. Simplify \( 10^{-1} \cdot 10^{-4} \).
3. Simplify \( 2^{-5} \cdot 2^{-7} \).
4. Simplify \( 7^{-2} \cdot 7^{-6} \).
5. Simplify \( 3^{-4} \cdot 3^{-1} \).

**Tip:** When multiplying powers with the same base, always add the exponents, even if they are negative.

Learn how to simplify the expression 8^-3 * 8^-5 using the rule for multiplying powers with the same base. Understand why adding exponents is necessary and practice similar problems. Suitable for students in Grades 7-9.

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