Understanding the Exponent to the Zero Power: Why 4^0 = 1

Question

$4^0=\text{?}$

00:02 Alright, let's solve this problem together.

00:06 Remember, any number to the power of zero is one.

00:10 This works, as long as the number isn't zero.

00:14 Now, let's apply this rule to our exercise.

00:18 Great job! That's the solution.

To solve this problem, we need to find the value of $4^0$ .

Step 1: According to the properties of exponents, for any non-zero number $a$ , the zero power $a^0$ is always equal to 1.
Step 2: Here, our base is 4, which is a non-zero number.
Step 3: Applying the zero exponent rule, we find:

$4^0 = 1$

Thus, the answer to the question is $1$ , corresponding to choice 3.

$1$