Exercise
$\frac{\left(m^{-1}+n^{-1}\right)}{\left(m^{-1}-n^{-1}\right)}$
Step-by-step Solution
Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the expression (m^(-1)+n^(-1))/(m^(-1)-n^(-1)). Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Combine \frac{1}{m}+\frac{-1}{n} in a single fraction. Combine -1+\frac{n}{m} in a single fraction. Combine \frac{1}{m}+\frac{1}{n} in a single fraction.
Simplify the expression (m^(-1)+n^(-1))/(m^(-1)-n^(-1))
Final answer to the exercise
$\frac{n+m}{n-m}$