What is the exponent of zero property?

Dec 14, 2014

I suppose you mean the fact that a number to the zero exponent is always equal to one, for example:

${3}^{0} = 1$

The intuitive explanation can be found remembering that:
1) dividing two equal numbers gives 1;
ex. $\frac{4}{4} = 1$
2) The fraction of two equal numbers a to the power of m and n gives:
${a}^{m} / {a}^{n} = {a}^{m - n}$

Now: