# How do you simplify  (11 ^(4/3))/(11 ^(1/3))?

${11}^{\frac{4}{3}} / {11}^{\frac{1}{3}} = 11$
If $a > 0$ then ${a}^{b} / {a}^{c} = {a}^{b - c}$ for any Real numbers $b , c$.
${11}^{\frac{4}{3}} / {11}^{\frac{1}{3}} = {11}^{\frac{4}{3} - \frac{1}{3}} = {11}^{1} = 11$