How do you simplify root3( 64y^7 )?

1 Answer
Alan P.
Oct 1, 2015

root(3)(64y^7) = 4y^2root(3)(y)

Explanation:

root(3)(64y^7)
color(white)("XXX")=root(3)(64)*root(3)(y^7)

color(white)("XXX")=root(3)(4^3)*root(3)((y^2)^3*y)

color(white)("XXX")=4*root(3)((y^2)^3)*root(3)(y)

color(white)("XXX")=4y^2root(3)(y)

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