What is infinity to the power of 0?

We will be looking at some interesting properties of exponents in this section.

Answer: Infinity to the power of zero is equal to one.

Let's understand the solution in detail.

Explanation:

∞⁰ is an indeterminate form, that is, the value can't be determined exactly.

But, if we write it in the form of limits, then we see that:

⇒ lim_n→∞ n⁰ = lim_n→∞ 1 = 1.

This is an example of the type lim_n→∞ f(x)^g(x), and if it is known that f(x) = n or multiples of n and g(x) = 0, then it is a constant. Here, in this case, it is 1.

Hence, infinity to the power of zero is equal to one.