SOLUTION: I saw a problem worked like this: cubert(8^2) = 8^(2/3) = (8^2)^(1/3) or (8^1/3)^2 How do they work each step of this answer?

Question 283241: I saw a problem worked like this:
cubert(8^2) = 8^(2/3) = (8^2)^(1/3) or (8^1/3)^2
How do they work each step of this answer?

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!

Yes they are all equivalent.
And it does not matter whether you square first or find the cube root first
^2 means square
^!/3 means cube root
The denominator tells you it is a root.
The numerator tells you to square or cube.
It can be even more fun if there is a minus sign
The minus sign tells you to take the reciprocal.
2^(-1) means 1/2
2^(-1/2) take the square root of the reciprocal. sqrt(1/2)
You should have a lesson already or soon on fractional and negative exponents.

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