(–0.8xy root 2) divided by (0.4xy).
First, let's simplify the expression:
(-0.8xy√2) / (0.4xy)
Since the numerator and denominator both contain the variables x and y, they can be canceled out.
So, we have:
-0.8√2 / 0.4
Now, let's simplify the division of the numbers:
-0.8√2 / 0.4 = -2√2 / 1
Finally, we simplify further to get our answer:
-2√2 / 1 = -2√2