Exercise
$\frac{x^{-1}y^{-1}}{x^{-2}-y^{-2}}$
Step-by-step Solution
Learn how to solve quotient of powers problems step by step online. Simplify the expression (x^(-1)y^(-1))/(x^(-2)-y^(-2)). Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Any expression to the power of 1 is equal to that same expression. Multiplying polynomials x and x^{-2}-y^{-2}.
Simplify the expression (x^(-1)y^(-1))/(x^(-2)-y^(-2))
Final answer to the exercise
$\frac{xy}{y^2-x^2}$