The given expression is:

\[
(9^{-3})(9^{12})
\]

To simplify, you can apply the **Product of Powers** property, which states:

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

So, for the given expression:

\[
9^{-3} \cdot 9^{12} = 9^{-3 + 12} = 9^9
\]

Thus, the simplified result is:

\[
9^9
\]

Would you like any further details or explanations?

Here are some related questions to expand on this topic:
1. How would you simplify \((5^4)(5^{-2})\)?
2. What is the value of \(9^9\)?
3. Can you explain the quotient rule for exponents using an example?
4. How do you simplify expressions with different bases, like \(3^2 \times 9^2\)?
5. What happens if the exponents in the product rule are negative?

**Tip:** Always combine the exponents first when multiplying powers with the same base to simplify the expression efficiently.

Learn how to simplify the exponential expression (9^{-3})(9^{12}) by applying the Product of Powers property. This step-by-step guide explores exponent rules and is suitable for students in Grades 8-10.

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