SOLUTION: cubed root of -243x^3y^10

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Question 35251This question is from textbook
: cubed root of -243x^3y^10 This question is from textbook

Answer by junior403(76) About Me  (Show Source):
You can put this solution on YOUR website!
You didnt specify, but I imagine you would like to simplify this expression.
root%28+3%2C+-243x%5E3y%5E10%29
Lets start with the -243.
We can think of this as root%283%2C-27%2A9%29
We know that the cubed root of -27 is -3.
So we can take out the -3 and leave the 9 under the radical -3root%283%2C9x%5E3y%5E10%29
Next we look at the x%5E3.
We know that the cubed root of x%5E3 is x, so that can come out as well.
-3x%2Aroot%283%2C9y%5E10%29
Finally we lookat the y%5E10.
We can think of this as root%283%2Cy%5E9%2Ay%5E1%29
From this we know that the y%5E9 can come out 3 times as y%5E3 with 1 remaining under the radical.
-3xy%5E3root%283%2C9y%5E1%29
This is the most this expression can be simplified
I hope this helps.
Good Luck!