## Algebra 1: Common Core (15th Edition)

$x^{\frac{2}{3}}.x^{\frac{1}{4}}=x^{\frac{11}{12}}$
$x^{\frac{2}{3}}.x^a=x^{\frac{11}{12}}$ $x^{\frac{2}{3}+a}=a^{\frac{11}{12}}$ Multiply the powers with the same base. $\frac{2}{3}+a=\frac{11}{12}$ $a=\frac{1}{4}$ Therefore, the completed equation is: $x^{\frac{2}{3}}.x^{\frac{1}{4}}=x^{\frac{11}{12}}$