Simplify.
-$\left(\frac{x y^{4}}{w^{2} z}\right)^{-6}$
A) $\frac{w^{12} z^{6}}{x^{6} y^{24}}$
B) $\frac{x y^{-24}}{w^{-12} z}$
C) $\frac{x^{-6} y^{-2}}{w^{-4} z^{-6}}$
D) $\frac{x^{6} y^{-24}}{w^{-12} z^{6}}$

Question

Quizplus · Accepted Answer

When you raise a fraction to a negative exponent, you invert the fraction and apply the positive exponent. Thus, $\left(\frac{x y^{4}}{w^{2} z}\right)^{-6}$ becomes $\frac{w^{12} z^{6}}{x^{6} y^{24}}$ by flipping the fraction and applying the exponent to each variable, resulting in option A.

Simplify - (xy4w2z)−6\left(\frac{x y^{4}}{w^{2} z}\right)^{-6}(w2zxy4​)−6 A) w12z6x6y24\frac{w^{12} z^{6}}{x^{6} y^{24}}x6y24w12z6​ B) xy−24w−12z\frac{x y^{-24}}{w^{-12} z}w−12zxy−24​

Simplify
- $\left(\frac{x y^{4}}{w^{2} z}\right)^{-6}$ A) $\frac{w^{12} z^{6}}{x^{6} y^{24}}$ B) $\frac{x y^{-24}}{w^{-12} z}$