The Mystery of $0^0$: Why Nothing to the Power of Nothing Equals One (or Does It?)

Mathematics is built on absolute rules. Two plus two is always four, a circle’s circumference is always its diameter multiplied by pi, and dividing by zero is strictly forbidden. Yet, lurking in the shadows of arithmetic is an expression that has baffled students, divided computer scientists, and sparked centuries of debate among mathematicians: $0^0$ (zero to the power of zero).