Simplify.
Rewrite the expression in the form (9^{-3})(9^{12})=

To simplify the expression \((9^{-3})(9^{12})\), we can use the property of exponents that states \(a^m \cdot a^n = a^{m+n}\).

1. Apply the property:
   \[
   9^{-3} \cdot 9^{12} = 9^{-3 + 12} = 9^{9}
   \]

Thus, \((9^{-3})(9^{12}) = 9^{9}\).

If you have any questions or need further details, feel free to ask! Here are some related questions:

1. What is the numerical value of \(9^9\)?
2. Can you explain the properties of exponents in more detail?
3. How would you express \(9^{9}\) in terms of base 3?
4. What are some applications of exponent rules in algebra?
5. Can you simplify a similar expression using different bases? 

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

Rewrite the expression in the form (9^{-3})(9^{12})=

Learn how to simplify the expression (9^{-3})(9^{12}) using the properties of exponents. This step-by-step solution shows that (9^{-3})(9^{12}) equals 9^{9}, suitable for students in Grades 6-8.

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