Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero numbers.
-$\left(\frac{2 x^{3} y^{-3}}{x^{-2} y^{4}}\right)^{-5}$

A) $\frac{y^{35}}{2 x^{25}}$

B) $\frac{y^{35}}{2 x^{5}}$

C) $\frac{2 x^{25}}{y^{35}}$

D) $\frac{y^{35}}{32 x^{25}}$

Question

Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero numbers.
-$\left(\frac{2 x^{3} y^{-3}}{x^{-2} y^{4}}\right)^{-5}$

A) $\frac{y^{35}}{2 x^{25}}$

B) $\frac{y^{35}}{2 x^{5}}$

C) $\frac{2 x^{25}}{y^{35}}$

D) $\frac{y^{35}}{32 x^{25}}$

Quizplus · Accepted Answer

First, simplify the expression inside the parentheses by adding exponents when dividing like bases: $2 x^{3-(-2)} y^{-3-4} = 2 x^5 y^{-7}$. Then, apply the negative exponent outside the parentheses by taking the reciprocal and changing the sign of the exponent: $(2 x^5 y^{-7})^{-5} = 2^{-5} x^{-25} y^{35} = \frac{y^{35}}{32 x^{25}}$.

Simplify the Expression So That No Negative Exponents Appear in the Final