Using the Product Rule of Exponents, which states that \( a^m \cdot a^n = a^{m+n} \), we can simplify the expression \( 1^9 \cdot 1^8 \).
Here, both bases are 1, so we apply the rule:
\[ 1^9 \cdot 1^8 = 1^{9 + 8} = 1^{17} \]
Thus, the equivalent form of \( 1^9 \cdot 1^8 \) is:
- base = 1
- exponent = 17