To find the y-value of the function \( y = 3(5)^x \) when \( x = -6 \), we can substitute \(-6\) for \( x \) in the function.
\[ y = 3(5)^{-6} \]
Calculating \( (5)^{-6} \):
\[ (5)^{-6} = \frac{1}{(5)^6} \]
Now calculating \( (5)^6 \):
\[ (5)^6 = 15625 \]
Therefore,
\[ (5)^{-6} = \frac{1}{15625} \]
Now substituting back into the equation to find \( y \):
\[ y = 3 \cdot \frac{1}{15625} = \frac{3}{15625} \]
So, when \( x = -6 \), the y-value is:
\[ y = \frac{3}{15625} \]
Thus, the point is \((-6, \frac{3}{15625})\). If you require a decimal value,
\[ \frac{3}{15625} \approx 0.000192 \]
So the final answer is:
\(-6, \frac{3}{15625}\) or approximately \(-6, 0.000192\).