The Power Rule of Exponents states that \( (a^m)^n = a^{m \cdot n} \).
In your expression, \( (194)^9 \) can be simplified but since it’s already in a simple form, we can use the property of exponents directly:
- Rewrite the base: \( 194 \) can be considered as \( 194^1 \).
- According to the Power Rule, we can write \( (194^1)^9 \) which simplifies to \( 194^{1 \cdot 9} \).
- Therefore, this simplifies to \( 194^9 \).
So, the simplified equivalent expression for \( (194)^9 \) is simply:
\[ 194^9 \]
There is no further simplification since it is already in its simplest exponential form.