How do you simplify #\root[ 5] { 2187x ^ { 6} y ^ { 11} }#?

1 Answer
Rachel
Apr 3, 2017

#3xy^2##color(white)(^)5sqrt(9y)#

Explanation:

#color(white)(^)5sqrt(2187*x^5*y^11#
If we expand everything, we get #color(white)(^)5sqrt(3*3*3*3*3*3*3*x^5*y^5*y^5*y)#
That's the same thing as #color(white)(^)5sqrt(3^5*9*x^5*y^5*y^5*y)#

Now we just bring the factors through, so we have #3xy^2color(white)(^)5sqrt(9y)#

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