# How do you simplify (2x^(3/4)) (5y^(4/6)) (x^(5/4)) (3y^(-2/6))?

Apr 8, 2016

$30 {x}^{2} \sqrt[3]{y}$

#### Explanation:

Put together all the like terms - that is, multiply the $x$'s together, the $y$'s, and the actual numbers.

${x}^{\frac{3}{4}} \cdot {x}^{\frac{5}{4}} = {x}^{\frac{3}{4} + \frac{5}{4}} = {x}^{\frac{8}{4}} = {x}^{2}$
${y}^{\frac{4}{6}} \cdot {y}^{- \frac{2}{6}} = {y}^{\frac{4}{6} - \frac{2}{6}} = {y}^{\frac{1}{3}}$
$2 \cdot 5 \cdot 3 = 30$

and put it back together again,

$30 {x}^{2} \sqrt[3]{y}$