Can you solve below mathematical equation?

2^1234 - 2^1233

Our product and our sum always give the same answer. Who are we?

In a football game, Christina defeated Teresa by 2 - 0 but no man from either side scored. How can this be possible?

Until it is measured, not known. Yet how you miss it when it has gone. What is it?

I am soft and cuddly that soothe your heart. But, If you pick my last name I am going to tear you all apart. Who am I?

I possess a head

I flaunt a tail

But I don't have mouth or legs

Can you find out who I am?

A King wants to send the diamond ring to his girlfriend securely. He got multiple locks and their corresponding keys. His girlfriend does not have any keys to these locks and if he sends the key without a lock, the key can be copied in the way. How can King send the ring to his girlfriend securely?

Let's play a word game. Following are some meaningless words that can be completed by adding random letters on either side of the word.

For example, the word "rdo" can be formed into "pardon".

Using the same technique, can you complete the given words?
ecalc
airb
rinci
tibac
uidel
gorit
igna
eyho

How can you leave a room with two legs and return with six legs?

What number comes next in this sequence:
7 8 5 5 3 4 4 _