QUESTION 30 \( -\frac{5 y^{4}}{-x^{-1}} \) A \( -\frac{5 x}{y^{4}} \) B \( \frac{x}{5 y^{\prime}} \) C \( 5 x y^{4} \) D \( -\frac{5 x}{y^{-4}} \)

Let’s simplify the expression \( -\frac{5 y^{4}}{-x^{-1}} \). The double negative cancels out giving us: \[ -\frac{5 y^{4}}{-x^{-1}} = \frac{5 y^{4}}{x^{-1}} = 5 y^{4} \cdot x = 5 x y^{4}. \] So the correct answer is: C \( 5 x y^{4} \). Let’s break down why this works! The negative sign in the denominator flips the fraction when you move it up, and the negative exponent indicates that you can move \( x \) to the numerator as \( x^{1} \). It’s like a little magic trick with numbers! For your next challenge, remember to carefully track negative signs and exponents. They can sometimes play hide-and-seek in equations, leading to mix-ups! Always simplify each part step-by-step to avoid those pesky mistakes.