Can you solve below mathematical equation?

2^1234 - 2^1233

You are playing a game with your friend Jack. There are digits from 1 to 9. You both will take turn erasing one digit and adding it to your score. The first one to score 15 points will win the game.

Would you want to play first or second?

PS: The sum should be exactly 15.

Imagine you are in a room with no windows or doors. How will you get out?

Rectify the following equality 101 - 102 = 1 by moving just one digit.

Which is the correct shadow of the bird?

Place a mathematical symbol between the numerals 5 and 9 in such a way that the resulting number is greater than 5 but smaller than 9.

I am looking for a word that change both gender and number when i add the letter 'S'.

What Word am I Looking For ?

It is a six-letter word.
The first four letters are me.
The second and last letters are the same.
The fourth second and last letter is payment.

Who is it?

Can you find the 09 errors in the picture below?

It has a long neck, A name of a bird, Feeds on cargo of ships, It's not alive,

What is it?