Question

simplify: $\left[\frac{{15}^{\frac{1}{4}}}{3^{\frac{1}{2}}}\right]$

Answer 1

$\frac{{\left(15\right)}^{\frac{1}{4}}}{3^{\frac{1}{2}}}\Rightarrow \frac{{\left(3.5\right)}^{\frac{1}{4}}}{3^{\frac{1}{2}}}\Rightarrow \frac{3^{\frac{1}{4}}{.5}^{\frac{1}{4}}}{3^{\frac{1}{2}}}\Rightarrow \frac{5^{\frac{1}{4}}}{3^{(\frac{1}{2}-\frac{1}{4})}}\Rightarrow {\left(\frac{5}{3}\right)}^{\frac{1}{4}}$