Simplification

Question

Solve ∛8x⁴/y and get this answer 2x ∛xy²/y

Answer 1

³√(8X⁴/Y) = ³√(2³X³X/Y) = 2X (³√X/Y)

 

Unless there is a misprint in your posting of the original expression

this will not come out to 2x ∛xy²/y which would be 2x ³√xy anyway

Answer 2

∛(8x4/y)= ³√(23X/Y)

             = 2X (³√(X/Y))

             = 2x (³√(XY²/Y³))

             = [2x ³√(xy²)] /( ³√ (y³))

             = [2x ³√(xy²)] / y

Answer 3

³√(8x⁴/y) = [³√8 ³√(x³) ³√x]/(³√y)

 

              = [2x ³√x]/(³√y)

 

Multiply and divide by ³√(y²) to get [2x ³√x ³√(y²)]/ ³√(y)³

 

                                               = [2x ³√(xy²)] / y