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
If we want to go from 2^2 to 2^3 we simply multiply by 2.
2^2 = 4 -> 4×2 = 8 = 2^3
But now let’s try going backwards. If we want to go from 2^3 to 2^2, since we multiplied going forwards we will divide going backwards.
2^3 = 8 -> 8/2 = 4 = 2^2
Now let’s keep applying that logic:
2^3 = 8
2^2 = 4 (8/2)
2^1 = 2 (4/2)
2^0 =1 (2/2)
And we can keep going:
2^-1= 0.5 (1/2)
2^-2 = 0.25 (0.5/2)
And so on.
Works with every number, try it out!
Edit: this is probably too late of an edit but since a lot of people are mentioning 0. I just want to say this is not an explanation of how exponents work, but rather a proof to show why x^0 = 1, given x is an integer and not 0.
If you want an explanation of how exponents work, since all our teachers did a terrible job, check out this [article](https://betterexplained.com/articles/understanding-exponents-why-does-00-1/) I found. I thought it did a great job at explaining the how.
Also please guys I don’t care for internet points, instead of giving me an award buy yourself a chocolate bar (idk how much awards cost? Does it cost the same as a chocolate bar? 😅)
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