How do you simplify #\frac { 13} { \root[ 7] { y ^ { 2} } }#?

1 Answer
Parabola
Nov 26, 2017

#(13root[7] (y^5))/y#

Explanation:

We will express #root[7] (y^2# as #y^(2/7)#.
In order to make #y# to be in an integral exponent, we need to multiply #y^(2/7)# by #y^(5/7)# to get #y^1#.
Therefore, we multiply the fraction by #y^(5/7)/y^(5/7)# to get #(13y^(5/7))/(y)#
Instead of writing #y# raised to a fractional exponent, we use roots.

Therefore, the answer is #(13root[7] (y^5))/y#

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