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

${x}^{\frac{3}{4}} - {x}^{\frac{1}{4}}$
$= {x}^{\frac{1}{2} + \frac{1}{4}} - {x}^{\frac{1}{4}}$
$= \left({x}^{\frac{1}{2}} \cdot {x}^{\frac{1}{4}}\right) - {x}^{\frac{1}{4}}$
$= \left({x}^{\frac{1}{2}} - 1\right) {x}^{\frac{1}{4}}$
...using ${x}^{a + b} = {x}^{a} \cdot {x}^{b}$