What does this rebus puzzle means ?

A four-digit number (not beginning with 0) can be represented by ABCD. There is one number such that ABCD=A^B*C^D, where A^B means A raised to the B power. Can you find it?

Place the numbers from 1 to 9 in the circles in a manner that each side of the triangle sums up to 17.

You are given 2 eggs.
You have access to a 100-storey building.
Eggs can be very hard or very fragile means it may break if dropped from the first floor or may not even break if dropped from 100th floor, Both eggs are identical.
You need to figure out the highest floor of a 100-storey building an egg can be dropped without breaking.
Now the question is how many drops you need to make. You are allowed to break 2 eggs in the process

What makes this number unique: 8,549,176,320?

A father's child, a mother's child, yet no one's son.

Who am I?

Double it and multiply it by 4. Then divide it by 8 and you’ll have it once more. What number is it?

A container contains 100 eggs. They can be either fresh or rotten. What is sure is the fact that there is at least one fresh egg in that container.

If you are asked to pick two eggs randomly from the container, at least one of them will be rotten.

Can you calculate how many eggs in that container are fresh?

Solve the mathematical equation in the picture below.

Can you solve the below algebraic mathematical equation?

(J+O+I+N+T)3 = JOINT