Can you solve below mathematical equation?

2^1234 - 2^1233

I am an odd number. Take away a letter and I become even. What number am I?

By adding four matchsticks, can you divide the square shown in the picture into two equal parts?

I start and end with 500 and carry a 5 in my heart. But I require the first letter and the first number to be complete. I am the name of a King.

Who am I ?

What does this rebus picture identify?

Women do it once a year after they turn 19 but men get to do it only once in a lifetime. What is it?

Count the number of times the letter "F" appears in the following paragraph:

FAY FRIED FIFTY POUNDS OF
SALTED FISH AND THREE POUNDS
OF DRY FENNEL FOR DINNER FOR
FORTY MEMBERS OF HER FATHER'S FAMILY.

What is harder to catch the faster you run?

What breaks yet never falls, and what falls yet never breaks?

The world's largest Thanksgiving turkey was on display at a fair. Everyone was admiring it when suddenly a woman ran up and shot the turkey and left. Everyone knew her yet nobody made any attempts to stop or report her. Why?