To evaluate the expression "six power of \( \frac{9}{6} \) to the power of 5," we can rewrite it using exponents:
\[ 6^{\left(\frac{9}{6}\right)^5} \]
Now, calculate \( \left(\frac{9}{6}\right)^5 \):
First, simplify \( \frac{9}{6} \):
\[ \frac{9}{6} = \frac{3}{2} \]
Now calculate \( \left(\frac{3}{2}\right)^5 \):
\[ \left(\frac{3}{2}\right)^5 = \frac{3^5}{2^5} = \frac{243}{32} \]
Thus, we have:
\[ 6^{\left(\frac{9}{6}\right)^5} = 6^{\frac{243}{32}} \]
This expression does not equal \( 6^{46} \), \( 6^{14} \), \( 6^{1.8} \), or \( 6 \).
Therefore, the answer to your question is that \( 6^{\left(\frac{9}{6}\right)^5} \) does not match any of the options you provided.