Good answer anonymous!
I just want to go over what you were saying.
Anything divided by itself is 1
so
$${\frac{{\mathtt{7}}}{{\mathtt{7}}}} = {\mathtt{1}}$$
$$\frac{9^3}{9^3}=1$$
also
$$\frac{5^7}{5^4}=5^7\div 5^4=5^{7-4}=5^3$$
so
$$\frac{9^3}{9^3}=9^{3-3}=9^0$$ BUT we know that $$\frac{9^3}{9^3}=1$$
therefore
$$9^0=1$$ 
Anything (except for 0) raised to the power of 0 is 1. 
$${{\mathtt{0}}}^{{\mathtt{0}}} = \underset{{\tiny{\text{Error: indeterminante}}}}{{{\mathtt{0}}}^{{\mathtt{0}}}}$$ Like it says 00 is undefined 
Are you happy now bioschip?