Do You See It?

Can you solve below mathematical equation?

2^1234 - 2^1233

Make eight squares by moving only two matchsticks.
Note- Square can be of different sizes.

When is the top of a mountain similar to a savings account?

There are 20 people in an empty, square room. Each person has full sight of the entire room and everyone in it without turning his head or body, or moving in any way (other than the eyes). Where can you place an apple so that all but one person can see it?

If all Goats are Sheep and all Sheep are Deers, are all Deers Goats ?

My friends called me Iron59 because my parents are a chemist and a mathematician. What is my real name?

Which tank will fill first?

I sleep during the day and fly at night, but I have no feathers to aid my flight. What am I?

I am a prime number.
The double of myself is equal to the square of me.

which number am I?