Simplify.
-$\frac { x ^ { - 5 } + 4 } { x ^ { - 5 } - 4 }$
A) $- \frac { 4 x ^ { 5 } } { 4 x ^ { 5 } }$
B) $\frac { 1 - 4 x ^ { 5 } } { 1 + 4 x ^ { 5 } }$
C) $\frac { 1 + 4 x ^ { 5 } } { 1 - 4 x ^ { 5 } }$
D) $\frac { x ^ { 5 } + 4 } { x ^ { 5 } - 4 }$

Question

Quizplus · Accepted Answer

To simplify the given expression, we can multiply both the numerator and the denominator by $x^5$, which is the reciprocal of $x^{-5}$. This gives us $\frac{x^5(x^{-5} + 4)}{x^5(x^{-5} - 4)}$, simplifying to $\frac{1 + 4x^5}{1 - 4x^5}$.

Simplify - x−5+4x−5−4\frac { x ^ { - 5 } + 4 } { x ^ { - 5 } - 4 }x−5−4x−5+4​

Simplify
- $\frac { x ^ { - 5 } + 4 } { x ^ { - 5 } - 4 }$