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

Question

Quizplus · Accepted Answer

To simplify the given fraction, we can multiply both the numerator and the denominator by $x^2y^2$ to clear the negative exponents. This results in $\frac{x^2y^2}{x^2y^2} \cdot \frac{x^{-2}}{x^{-2} - y^{-2}} = \frac{y^2}{y^2 - x^2}$, which matches choice A.

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

Simplify the Complex Fraction $\frac { x ^ { - 2 } } { x ^ { - 2 } - y ^ { - 2 } }$