Answer
8$x^{5/2}$
Work Step by Step
You have (2$x^{1/6}$$)^{3}$$x^{2}$.Simplify the expression:
(2$x^{1/6}$$)^{3}$$x^{2}$ -Use the exponent rule (xy$)^{a}$=$x^{a}$$y^{a}$-
$2^{3}$($x^{1/6}$$)^{3}$$x^{2}$ -Apply the rule ($x^{a}$$)^{b}$=$x^{a \times b}$-
8$\times$ $x^{1/2}$$\times$ $x^{2}$ -apply the rule $x^{a}$$x^{b}$=$x^{a+b}$-
8$x^{2+1/2}$ -simplify-
The simplified expression is 8$x^{5/2}$
