To find the y-value when \( x = -6 \) for the function \( y = 3(5)^x \), we can substitute \( x = -6 \) into the equation:
\[ y = 3(5)^{-6} \]
Now, we need to calculate \( (5)^{-6} \):
\[ (5)^{-6} = \frac{1}{(5)^6} \]
Calculate \( 5^6 \):
\[ 5^6 = 15625 \]
So,
\[ (5)^{-6} = \frac{1}{15625} \]
Now substitute this back into the equation for \( y \):
\[ y = 3 \times \frac{1}{15625} = \frac{3}{15625} \]
Thus, the y-value when \( x = -6 \) is:
\[ \left( -6, \frac{3}{15625} \right) \]
In decimal form, \( \frac{3}{15625} \approx 0.000192 \). Therefore, the point is:
\[ \left( -6, \frac{3}{15625} \right) \text{ or approximately } \left( -6, 0.000192 \right) \]