### Zero Exponent - with a Pattern!

Many school books just "announce" the rule or the fact that any number to zero exponent is one (excluding zero to zeroth power, to be exact). I like to call this "announced" mathematics - it's math without justifications, without explaining the "whys".

In the video below, I show you a better way, where we approach it through a simple pattern. This justifies the rule and makes it logical, instead of just a piece of "announced" mathematics without proof.

Zero Exponent video

I also show another way of justifying it, which has to do with the shortcut for multiplication of powers with the same base. For example:

Following the shortcut for multiplying powers with the same base,

x

This is an equation where x

See also my earlier article on this topic: Negative or zero exponent.

In the video below, I show you a better way, where we approach it through a simple pattern. This justifies the rule and makes it logical, instead of just a piece of "announced" mathematics without proof.

Zero Exponent video

I also show another way of justifying it, which has to do with the shortcut for multiplication of powers with the same base. For example:

Following the shortcut for multiplying powers with the same base,

x

^{7}x^{0}= x^{7}, because you can add the exponents 0 + 7 = 7.This is an equation where x

^{7}is multiplied by x^{0}, and the result is x^{7}. What must x^{0}therefore be? It must equal one.See also my earlier article on this topic: Negative or zero exponent.