ELI5, how does 2^0 power equal 1?

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I’m doing my GED and passed that math part but this never came up. I saw it on a meme and am lost.
Help!!??

In: 9770

25 Answers

Anonymous 0 Comments

Here’s the explanation I like best:

2¹=2. Happy enough? Now multiply it by 2.

2¹×2=2²=4. And again.

2²×2=2³=4×2=8. And again.

2³×2=2⁴=8×2=16. And so on.

So multiplying by 2 is the same as increasing the power of 2 by 1. Now, dividing is just like undoing division. So dividing just *decreases* the power by 1, i.e.

2⁴÷2=2³=16÷2=8.

2³÷2=2²=8÷2=4.

2²÷2=2¹=4÷2=2.

So…

2¹÷2=2⁰=2÷2=1.

And we can push it further and say that negative powers give us fractions (except I can’t write negative powers on here)…

2⁰÷2=2^(-1)=1÷2=½

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