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

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

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Step-by-step video solution

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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.

Step-by-step written solution

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1

Understand the problem

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

2

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.

3

Final Answer

1 1

Practice Quiz

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Which of the following is equivalent to \( 100^0 \)?

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