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

Question

40=? 4^0=\text{?}

Video Solution

Solution Steps

00:00 Solve the following problem
00:03 Any number raised to the power of 0 equals 1
00:06 As long as the number is not 0
00:09 Apply this formula to our exercise
00:14 This is the solution

Step-by-Step Solution

To solve this problem, we need to find the value of 40 4^0 .

  • Step 1: According to the properties of exponents, for any non-zero number a a , the zero power a0 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:

40=1 4^0 = 1

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

Answer

1 1