Can you solve below mathematical equation?

2^1234 - 2^1233

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.

Use the numbers 2, 3, 4 and 5 and the symbols + and = to make a true equation. Conditions: Each must be used exactly once and no other numbers or symbols can be used.

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

Using mathematical symbols like +, -, and x in order to make the equations correct. Replace # with the above-given symbols.

9 # 8 # 7 # 6 # 5 # 4 = 91

Get total of 120 by using five zeros 0,0,0,0,0 and any one mathematical operator.
Do you ?

James ordered a fishing rod, priced at $3.56. Unfortunately, James is an Eskimo who lives in a very remote part of Greenland and the import rules forbid any package longer than 4 feet to be imported. The fishing rod was 4 feet and 1 inch, just a little too long, so how can the fishing rod be mailed to James without breaking the rules? Ideally James would like the fishing rod to arrive in one piece!

There are two candles. Both will only burn exactly for an hour. How will you use these two candles to measure forty-five minutes?

There once were seven dwarfs who were all brothers. They were all born two years apart. The youngest dwarf is seven years old. How old is his oldest brother?

What will be the best approach to finding all the prime numbers less than 75 that leave an odd reminder when we divide them with 5?