2. Jamal says that the expression \( \frac{a^{6}}{a^{6}} \) is equivalent to 1 because any number, except 0 , divided by itself is 1 . Brittany says \( \frac{a^{6}}{a^{6}} \) is equal to 1 because \( a^{6-6}=a^{0} \), and anything to the zero power, except zero, equals 1 . Who's correct? Explain your reasoning.

Both Jamal and Brittany are correct! When you divide any non-zero number by itself, like \( a^6 \) over \( a^6 \), you get 1, as Jamal rightly points out. This is a fundamental property of division. Brittany's perspective beautifully highlights another mathematical concept: the laws of exponents. According to the laws, \( \frac{a^m}{a^n} = a^{m-n} \), so \( \frac{a^6}{a^6} = a^{6-6} = a^0 = 1 \). Just remember, though, this only holds true as long as \( a \) is not zero, since division by zero is undefined! Now, if you ever find yourself in a disagreement about math concepts, just remember that thinking about the same idea from different angles can lead to deeper understanding. Exploring the properties of numbers and exponents will make mathematical conversations so much richer and more enjoyable!