Question

simplify.
rewrite the expression in the form $9^{n}$.
$(9^{-3})(9^{12}) = $

Explanation:

Step1: Apply exponent product rule

When multiplying exponents with the same base, add the exponents: $a^m \times a^n = a^{m+n}$.
For $(9^{-3})(9^{12})$, this gives $9^{-3+12}$.

Step2: Calculate the exponent

Compute the sum of the exponents: $-3 + 12 = 9$.
So the expression simplifies to $9^9$.

Answer:

$9^9$