## College Algebra (6th Edition)

$3\sqrt[4] x$
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. $\frac{15x^{\frac{3}{4}}}{5x^{\frac{1}{2}}}$ $\frac{15}{5}*\frac{x^{3/4}}{x^{1/2}}$ $3*x^{3/4-1/2}$ $3*x^{3/4-2/4}$ $3x^{1/4}$ $3\sqrt[4] x$