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Do these eqations equal each other?

a ^ ( b * c ) = ( a ^ b ) ^ c

Guest Mar 26, 2017
 #1
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Test it out if you're unsure. I have to do this a lot to check myself. Just pick some random numbers for a, b, and c and test it.

 

I pick a = 2, b = 3, and c = 4

2 ^ ( 3 * 4 ) = ( 2 ^ 3 ) ^ 4

2 ^ ( 12 ) = 8 ^ 4

4096 = 4096

So yes they are equal.

 

You can see why too:

(23)4 = (23)(23)(23)(23) = (2)(2)(2) (2)(2)(2)​ (2)(2)(2)​ (2)(2)(2)​ = 212

hectictar  Mar 26, 2017

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