Solution
Expression : $$\frac{1}{1+2^{a-b}}+\frac{1}{1+2^{b-a}}$$
= $$\frac{1}{1 + \frac{2^a}{2^b}} + \frac{1}{\frac{2^b}{2^a}}$$
= $$\frac{2^b}{2^a + 2^b} + \frac{2^a}{2^a + 2^b}$$
= $$\frac{2^a + 2^b}{2^a + 2^b} = 1$$
Create a FREE account and get:
- Free SSC Study Material - 18000 Questions
- 230+ SSC previous papers with solutions PDF
- 100+ SSC Online Tests for Free
