To find the Y value when \( x = -6 \) for the function \( y = 3(5)^x \), we can substitute \(-6\) for \(x\) in the function:
\[ y = 3(5)^{-6} \]
Next, we can calculate \( (5)^{-6} \):
\[ (5)^{-6} = \frac{1}{5^6} = \frac{1}{15625} \]
Now, we can multiply this by 3:
\[ y = 3 \cdot \frac{1}{15625} = \frac{3}{15625} \]
So the Y value when \( x = -6 \) is:
\[ y = \frac{3}{15625} \]
If you would like a decimal approximation:
\[ \frac{3}{15625} \approx 0.000192 \]
Thus, when \( x = -6 \), the corresponding Y value is:
\[ y \approx 0.000192 \]
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