Answer
$b^{2/3}$
Work Step by Step
You are given ($b^{1/6}$$)^{3}$$b^{1/6}$.Simplify the expression:
$b^{{\frac{1}{6}}{\times}3}$$b^{1/6}$ -multiply exponents when raising a power to a power-
$b^{{\frac{3}{6}}}$$b^{{\frac{1}{6}}}$ -simplify-
$b^{{\frac{3}{6}}+{\frac{1}{6}}}$ -add the exponents of powers with the same base-
$b^{{\frac{4}{6}}}$ -simplify-
=$b^{{\frac{2}{3}}}$