−4(a^−2)^2 / −20a^5
First, we simplify the expression inside the parentheses:
(a^−2)^2 = a^(-2*2) = a^(-4)
Now we substitute this back into the original expression:
-4(a^−2)^2 / −20a^5 = -4(a^(-4)) / (-20a^5)
Next, we simplify the expression by combining like terms:
-4(a^(-4)) / (-20a^5) = (-4 / -20) * (a^(-4) / a^5) = (1/5) * a^(-4-5) = (1/5) * a^(-9) = a^(-9) / 5
Therefore, the simplified expression is a^(-9) / 5