Calculus: Moments-Are these correct ?

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1. Calculate the moments Mx and My and the centroid of the lamina with density 15 that is in the shape of the region bounded by y=-x^2+1 and y=-3

I got the My and xbar. However, I keep messing up when doing the ybar and the Mx; I messed up like 5 times (no laughing). This time I got:
ybar: 24
Mx= 256

are these right?

I would show my work but that's A LOT of typing and the work on my paper is really really messing because I kept messing up. I know it's basically just plugging in numbers to the formula, but I mess up at every and any little thing.
 
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nevermind.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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