Perform the indicated operation and write your answer with positive integer exponents.
-$$\frac { m ^ { - 1 } + n ^ { - 1 } } { ( m n ) ^ { - 1 } }$$
A) $\mathrm { n } - \mathrm { m }$
B) $n + m$
C) $- n + m$
D) $- \mathrm { n } - \mathrm { m }$

Question

Quizplus · Accepted Answer

The expression simplifies to $n + m$ by first converting the negative exponents to positive by taking the reciprocal, leading to $\frac{1}{m} + \frac{1}{n}$ over $\frac{1}{mn}$, which simplifies to $n + m$.

Perform the Indicated Operation and Write Your Answer with Positive m−1+n−1(mn)−1\frac { m ^ { - 1 } + n ^ { - 1 } } { ( m n ) ^ { - 1 } }(mn)−1m−1+n−1​

Perform the Indicated Operation and Write Your Answer with Positive $\frac { m ^ { - 1 } + n ^ { - 1 } } { ( m n ) ^ { - 1 } }$