Simplify.
-$\frac { - 2 x ^ { - 1 } + ( 8 y ) ^ { - 1 } } { x ^ { - 2 } }$
A) $\frac { 8 y } { - 16 x y + x ^ { 2 } }$
B) $\frac { x ^ { 2 } } { - 2 x + 8 y }$
C) $\frac { - 16 x y + x ^ { 2 } } { 8 y }$
D) $\frac { - 2 x y + 8 x ^ { 2 } } { y }$

Question

Quizplus · Accepted Answer

To simplify the given expression, we first rewrite the negative exponents as fractions: $\frac { - \frac{2}{x} + \frac{8}{y} } { \frac{1}{x^2} }$. Multiplying both numerator and denominator by $x^2y$ to clear the fractions gives us $\frac { - 2xy + 8x^2 } { y }$, which simplifies to $\frac { - 16xy + x^2 } { 8y }$, matching option C.

Simplify - −2x−1+(8y)−1x−2\frac { - 2 x ^ { - 1 } + ( 8 y ) ^ { - 1 } } { x ^ { - 2 } }x−2−2x−1+(8y)−1​

Simplify
- $\frac { - 2 x ^ { - 1 } + ( 8 y ) ^ { - 1 } } { x ^ { - 2 } }$