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

Question

Quizplus · Accepted Answer

To simplify $\frac { x ^ { - 2 } } { x ^ { - 2 } - y ^ { - 2 } }$, we can rewrite the expression using positive exponents: $\frac { 1/x^2 } { 1/x^2 - 1/y^2 }$. Finding a common denominator in the denominator of the fraction, we get $\frac { 1/x^2 } { (y^2 - x^2)/(x^2y^2) }$. Simplifying further, we multiply the numerator and the denominator by $x^2y^2$, resulting in $\frac { y^2 } { y^2 - x^2 }$, which matches choice C.

Simplify - x−2x−2−y−2\frac { x ^ { - 2 } } { x ^ { - 2 } - y ^ { - 2 } }x−2−y−2x−2​

Simplify
- $\frac { x ^ { - 2 } } { x ^ { - 2 } - y ^ { - 2 } }$