To simplify the expression \( 11^{-9} \times 11 \times 11^{-8} \), we can use the properties of exponents. Specifically, when multiplying numbers with the same base, we can add their exponents.
The expression can be rewritten as:
\[ 11^{-9} \times 11^1 \times 11^{-8} \]
Now, we add the exponents:
\[ -9 + 1 - 8 = -16 \]
Thus, the simplified expression is:
\[ 11^{-16} \]
If you want to express this in terms of a positive exponent, it can be written as:
\[ \frac{1}{11^{16}} \]
So, the final answer is:
\[ 11^{-16} \text{ or } \frac{1}{11^{16}} \]