Evaluate 100^0: Understanding the Zero Exponent Rule

Which of the following is equivalent to 1000 100^0 ?

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00:05 Let's solve this problem step by step.
00:08 Any number, A, raised to the power of zero equals one.
00:13 And that's how we find the solution! Well done.

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Understand the problem

Which of the following is equivalent to 1000 100^0 ?

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Step-by-step solution

Let's solve the problem step by step using the Zero Exponent Rule, which states that any non-zero number raised to the power of 0 is equal to 1.


  • Consider the expression: 1000 100^0 .
  • According to the Zero Exponent Rule, if we have any non-zero number, say a a , then a0=1 a^0 = 1 .
  • Here, a=100 a = 100 which is clearly a non-zero number, so following the rule, we find that:
  • 1000=1 100^0 = 1 .

Therefore, the expression 1000 100^0 is equivalent to 1.

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Final Answer

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\( 112^0=\text{?} \)

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