Can you solve below mathematical equation?

2^1234 - 2^1233

I went to the bookshop and spent one-half of the money that was in my purse.

When I came out, I found that I had as many cents as I had dollars and half as many dollars as I had cents when I went in. Find the money in my purse when I entered the store.

What is the word or phrase?

What three numbers, none of which is zero, give the same result whether they’re added or multiplied?

What are the next two letters in the following series and why?
W A T N T L I T F S _ _

*Hint: Check Puzzle Title

The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member ?

I know a country, If you remove the last alphabet of its name, it will become a part of your body. Do you name it?

The dirtier I get, the whiter I look. Who am I?

If nine thousand, nine hundred nine dollars is written as $9,909,
how should twelve thousand, twelve hundred twelve dollars be written?

A seven-year-old kid challenged his classmates that he can make the number one disappear by adding something to it.

How can he do that?