Why does zero power is equal to one?

Answer 1

To divide a number raised to one power by the same number raised to a nother power, you subtract the powers;

eg 5 cubed divided by 5 squared is 5 to the power (3 - 2) ie 5.

If you divide 5 cubed by 5 cubed then you have 5 to the power (3 - 3) ie 0, but 5 cubed divided by 5 cubed is 1 hence 5 to the power zero is one.

This calculation holds good for any non-zero number.

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