Can you solve below mathematical equation?

2^1234 - 2^1233

By moving exactly three matchsticks can you make the below equation true.It can be solved by 3 ways.

Can you move 2 matchsticks to form four equal sized squares.

What is a word made up of 4 letters, yet is also made up of 3. Sometimes is written with 9 letters, and then with 4. Rarely consists of 6, and never is written with 5.

Irene killed hundreds of people mercilessly and yet the police were not able to put her behind the bars. Why?

Can you identify the Oscar-winning movie from the rebus below?

You have to put a letter on the following to make it a meaningful word. The only challenge is that you can't use 'E'.

S E Q U E N C _

A boy was at a carnival and went to a booth where a man said to the boy, "If I write your exact weight on this piece of paper then you have to give me $50, but if I cannot, I will pay you $50." The boy looked around and saw no scale so he agrees, thinking no matter what the carny writes he'll just say he weighs more or less. In the end the boy ended up paying the man $50. How did the man win the bet?

You need to move three matchsticks to form three squares. Can you do it?

You are in a room that has three switches and a closed door. The switches control three light bulbs on the other side of the door. Once you open the door, you may never touch the switches again. How can you definitively tell which switch is connected to each of the light bulbs?