To simplify the expression \( (194)^9 \) using the Power Rule of Exponents, we can start by recognizing that the expression is already in a simplified form. However, if you're looking to express it differently or break it down using the Power Rule, we could rewrite it based on its prime factors if necessary, but that isn't strictly required for this expression.
So, the simplified equivalent expression for \( (194)^9 \) is simply:
\[ (194)^9 \]
If you need further simplification, \( 194 \) can be expressed in terms of its prime factors, which are \( 2 \) and \( 97 \):
\[ 194 = 2 \times 97 \]
Thus,
\[ (194)^9 = (2 \times 97)^9 = 2^9 \times 97^9 \]
This gives us an alternative form, but \( (194)^9 \) itself is already as simplified as it can be without additional context.