To evaluate the expression \(1^9 \times 1^8\):
Using the properties of exponents, we know that \(a^m \times a^n = a^{m+n}\).
In this case:
\[ 1^9 \times 1^8 = 1^{9+8} = 1^{17} \]
Now, since any power of 1 is simply 1:
\[ 1^{17} = 1 \]
Therefore, \(1^9 \times 1^8 = 1\).