How do you multiply #\frac { x ^ { 2} \root[ 3] { x } \cdot \sqrt { x ^ { 3} } } { x \sqrt { x } }#?

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Answer 1 · 2017-06-17T19:16:56

#color(blue)(x^2root3x#

#(x^2root3x*sqrt(x^3))/(xsqrtx)#

#:.=(root3x xx x^2 xx x^(3/2))/(x xx x^(1/2)#

#:.=(root3x xx x^(2+3/2))/(x^(1+1/2))#

#:.=(root3x xx x^(7/2))/(x^(3/2))#

#:.=root3x xx x^(7/2-3/2)#

#:.=root3x xx x^2#

#:.color(blue)(=x^2root3x#