Simplify the expression, using only positive exponents in your answer.
-$\frac{m^{-1}+z^{-1}}{m^{-1}-z^{-1}}$

A) $\frac{z+m}{z-m}$

B) $\frac{z+m}{m}$

C) $\frac{z-m}{z}$

D) $\frac{z+m}{z}$

Question

Simplify the expression, using only positive exponents in your answer.
-$\frac{m^{-1}+z^{-1}}{m^{-1}-z^{-1}}$

A) $\frac{z+m}{z-m}$

B) $\frac{z+m}{m}$

C) $\frac{z-m}{z}$

D) $\frac{z+m}{z}$

Quizplus · Accepted Answer

To simplify the expression $\frac{m^{-1}+z^{-1}}{m^{-1}-z^{-1}}$, we first rewrite the exponents in positive form by taking them to the denominator: $\frac{\frac{1}{m}+\frac{1}{z}}{\frac{1}{m}-\frac{1}{z}}$. Finding a common denominator for both the numerator and the denominator, we get $\frac{\frac{z+m}{zm}}{\frac{z-m}{zm}}$. Simplifying this, we get $\frac{z+m}{z-m}$, which matches option A.

Simplify the Expression, Using Only Positive Exponents in Your Answer m−1+z−1m−1−z−1\frac{m^{-1}+z^{-1}}{m^{-1}-z^{-1}}m−1−z−1m−1+z−1​

Simplify the Expression, Using Only Positive Exponents in Your Answer $\frac{m^{-1}+z^{-1}}{m^{-1}-z^{-1}}$