Let's solve the expression step by step. The expression given is:
\[ \frac{-3^3}{0.5} - \frac{2}{-3^2} \div 3 \times 0.5 - 6 \]
First, we calculate each part:
Calculate \( -3^3 \): \[ -3^3 = -27 \]
Calculate \( -3^2 \): \[ -3^2 = -9 \]
Now, substitute these values into the expression:
\[ \frac{-27}{0.5} - \frac{2}{-9} \div 3 \times 0.5 - 6 \]
Next, calculate \( \frac{-27}{0.5} \):
\[ \frac{-27}{0.5} = -27 \times 2 = -54 \]
Now calculate \( \frac{2}{-9} \):
\[ \frac{2}{-9} = -\frac{2}{9} \]
Next, we do the division \( -\frac{2}{9} \div 3 \):
\[ -\frac{2}{9} \div 3 = -\frac{2}{9} \times \frac{1}{3} = -\frac{2}{27} \]
Now multiply that by \( 0.5 \):
\[ -\frac{2}{27} \times 0.5 = -\frac{2}{27} \times \frac{1}{2} = -\frac{1}{27} \]
Now substitute back into the expression:
\[ -54 - \left(-\frac{1}{27}\right) - 6 \]
This can be simplified to:
\[ -54 + \frac{1}{27} - 6 \]
Combine the integer parts first:
\[ -54 - 6 = -60 \]
Now we need to add \( \frac{1}{27} \):
\[ -60 + \frac{1}{27} \]
To add these, convert \( -60 \) into a fraction:
\[ -60 = -\frac{1620}{27} \]
Now add:
\[ -\frac{1620}{27} + \frac{1}{27} = -\frac{1620 - 1}{27} = -\frac{1619}{27} \]
So the final result of the expression is:
\[ -\frac{1619}{27} \]