It always equals one.
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You can multiply any number (including zero) by one without changing it. Similarly, you can raise any number (once again, including zero) to power one and it won't change.
Well, isn't that just a happy little question! When we raise 1000 to the power of zero, it's like giving a big warm hug to that number. The answer is 1, because any number raised to the power of zero is always 1. Just like how every tree needs a strong root, every number needs a little one to hold on to.
Zero divided by any number is always zero and a number cannot be divided by zero.
Any number multiplied by zero is equal to zero. Think of it this way - if you have 13 lots of zero, you still have zero. However many lots of zero you have, you have zero.
A number greater than zero is called a positive number, while a number below zero is called a negative number.