Answer
$3\sqrt[4] x$
Work Step by Step
Divide the exponents by subtracting them. Then continue to divide the other numbers and simplify. Use the formula $a^{m/n}=\sqrt[n] {a^{m}}$ to put the variable in the radical.
$\frac{15x^{\frac{3}{4}}}{5x^{\frac{1}{2}}}$
$\frac{15}{5}*\frac{x^{3/4}}{x^{1/2}}$
$3*x^{3/4-1/2}$
$3*x^{3/4-2/4}$
$3x^{1/4}$
$3\sqrt[4] x$
