Question

prove that this question

Answer 1

$let \: {x}^{a - b} = k \\ \frac{1}{1 + k} \: + \frac{1}{1 + \frac{1}{k} } \\ = \frac{1}{1 + k} + \frac{k}{k + 1} \\ = \frac{1 + k}{k + 1} = 1.$