volume_mute
Identifying Undefined Expressions
publish date: 2026/05/23 08:46:48.465282 UTC
volume_mute
Which of the following expressions are undefined in standard mathematics? (Select all that apply.)
Correct Answer
(1) \(\frac{7}{0}\)
(2) \(\frac{0}{0}\)
(3) \(0^0\)
Explanation
\(7/0\) is undefined — there is no number whose product with 0 is 7. \(0/0\) is indeterminate — it does not yield a unique value. \(0^0\) is undefined. In contrast, \(0/7 = 0\) (since \(7 \times 0 = 0\)) and \((-3)^2 = 9\) are well-defined.
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012