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Two to the power of zero

The number two to the power of 0 gives

We think that is quite strange.

 

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Explanation

Every number a ≠ 0 gives a⁰ = 1. That must then also be the case for the number 2, so

and even

That looks somewhat strange. We can check that easily, and see

Take care, as

 

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Example 1

With a simple calculation you can show that 2⁰ = 1 must be true, because

2² · 2⁰ = 2²⁺⁰ = 2² = 4

 

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Example 2

You can also calculate

1/2 + 1/2 = 2⁻¹ + 2⁻¹ = 2⁻¹ (1 + 1) = 2⁻¹ · 2¹ = 2^1 − 1 = 2⁰ = 1

 

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