SOLUTION: Hi! I see a problem worked liked this: 8^2/3 = 8^1/3 * 8^1/3 = (8^1/3)^2 = 2^2 = 4 What is the reasoning behind each step? Thanks!

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Question 263051: Hi! I see a problem worked liked this:
8^2/3 = 8^1/3 * 8^1/3 = (8^1/3)^2 = 2^2 = 4
What is the reasoning behind each step?
Thanks!

Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
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8^2/3 = 8^1/3 * 8^1/3 = (8^1/3)^2 = 2^2 = 4
the 2 of 8^2/3 means 8 squared the 1/3 means cube root
so the cubed root of 8 is 2
but it is squared so it is 2^2

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