volume_mute
Value of \(a^0\)
publish date: 2026/05/23 05:43:44.240539 UTC
volume_mute
For any non-zero value of \(a\), what is the value of \(a^0\)?
Correct Answer
1
Explanation
From the law of exponents: \(\frac{a^n}{a^n} = a^{n-n} = a^0\). Since any nonzero number divided by itself equals 1, we have \(a^0 = 1\) for \(a \neq 0\). Note that \(0^0\) is undefined.
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012