Rational Exponents

Question

x^-1/2 (2x^1/2 - x^-1/2 )

_______________

x^-1

Answer 1

First the numerator

x^-1/2(2x^1/2 - x^-1/2)

2x^1/2x^-1/2 - x^-1/2x^-1/2)

2x¹- x^-1

Now applying the denominator

x¹(2x¹ - x^-1)

2x² - x⁰

2x²