Question

What is the result when the base is 0 and the exponent is 0 in the expression 0^0?

A) 0
B) 1
C) Undefined
D) 0 or 1, depending on the mathematical context

Answer 1

The result of 0^0 is undefined and depends on the mathematical context.

Step-by-step explanation:

The result of 0 raised to the power of 0, expressed as 0^0, is undefined.

This is because 0 to any power other than 0 is always 0, but 0^0 poses a dilemma. It can be seen as an indeterminate form, meaning it does not have a unique value assigned to it. It depends on the mathematical context in which it is used.

For example, in calculus, the expression 0^0 is commonly treated as an undefined form, and the limit of 0^0 can vary depending on the specific function being analyzed.