# How do you evaluate and simplify 3^(1/4)*27^(1/4)?

$3$
${3}^{\frac{1}{4}} \cdot {27}^{\frac{1}{4}} = {3}^{\frac{1}{4}} \cdot {\left({3}^{3}\right)}^{\frac{1}{4}}$
$= {3}^{\frac{1}{4}} \cdot {3}^{3 \cdot \frac{1}{4}} = {3}^{\frac{1}{4}} \cdot {3}^{\frac{3}{4}}$
${3}^{\frac{1}{4} + \frac{3}{4}} = {3}^{1} = 3$ [Ans]