1. The problem is to rewrite the expression $$(-4x)^{-1}$$ without negative exponents and without parentheses. 2. Recall the property of exponents: $$a^{-n} = \frac{1}{a^n}$$ for any nonzero number $a$ and positive integer $n$. 3. Applying this property to $$(-4x)^{-1}$$, we get: $$(-4x)^{-1} = \frac{1}{(-4x)^1}$$ 4. Since any number to the power of 1 is itself, simplify the denominator: $$\frac{1}{-4x}$$ 5. The expression without negative exponents and without parentheses is: $$\frac{1}{-4x}$$ This means the reciprocal of $-4x$. Final answer: $$\frac{1}{-4x}$$