Question

(a^-1 + b^-1 ) (a + b) ^-1 = a^m x b^n​

Answer 1

Answer:

${a}^{n + 1} \times {b}^{m + 1} = 1$

Step-by-step explanation:

$\frac{ \frac{1}{a} + \frac{1}{b} }{a + b} = {a}^{n} \times {b}^{m} \\ \frac{ \frac{a + b}{ab} }{a + b} = {a}^{n} \times {b}^{m} \\ \frac{1}{ab} = {a}^{n} \times {b}^{m} \\ {a}^{ - 1} {b}^{ - 1} = {a}^{n} {b}^{m} \\ n = - 1 \: \: and \: \: m = - 1$