How do you simplify #root3( y^4)#?

1 Answer
Jul 1, 2016

Answer:

#ycolor(white)(.) root(3)(y)#

Explanation:

#y^4# is the same as #yxxyxxyxxy#

So we are able to group this into

#(yxxyxxy)xxy# which is the same as #y^3xxy#

Write #root(3)(y^4)" "# as #" "root(3)(y^3xxy)#

We can take the #y^3# outside the cube root but in doing so it becomes just #y#

So #root(3)(y^4)" "=" "root(3)(y^3xxy)" "=" "ycolor(white)(.) root(3)(y)#
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Just for information: another way of writing #root(3)(y^4)" is "y^(4/3)#