Well, we’ve encountered this law of exponent in Algebra that any number raised to an exponent of zero is equal to one, that is a^{0}* =1. *Why is this so?

For some students when asked why just say, “*It’s just the rule.”*

However for us who wanted a more detailed answer and meaning to this problem, this answer is not sufficient.

But recall that there is also a rule in exponents which states that when a number ** a** with an exponent of

**is divided by the same number**

*m**with an exponent of*

**a***is equal to the number*

**n***with the exponent of*

**a***, or in formula we have:*

**m minus n**a^{m} /a^{n} = a^{m-n}

And when does the exponent of a be equal to zero? Certainly, it is when m = n. For instance, if we let a = 3, and m = 2 and n = 2, we have

a^{m} /a^{n}

3^{2} /3^{2}

3^{0}

**However, we noticed that if m =n, the resulting exponent becomes zero and also if m = n, we came up dividing a number by itself, which is equal to one. Therefore we can say that any number whose exponent is zero is equal to one because it’s just like dividing a number by itself, and dividing a number by itself is always equal to one.**