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

Question

Quizplus · Accepted Answer

The given expression can be simplified by first finding a common denominator for the numerator, which is $mn$, and then recognizing that $(mn)^{-1}$ is equivalent to $\frac{1}{mn}$. Thus, the expression simplifies to $\frac{m^{-1}n + n^{-1}m}{(mn)^{-1}} = \frac{m+n}{mn} \cdot mn = m + n$.

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 $\frac { m ^ { - 1 } + n ^ { - 1 } } { ( m n ) ^ { - 1 } }$