How do you simplify $x^{\frac{3}{4}} - x^{\frac{1}{4}}$ $x^(3/4) - x^(1/4)$ ?

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Answer 1 · 2015-05-27T10:30:30

$x^{\frac{3}{4}} - x^{\frac{1}{4}}$ $x^(3/4)-x^(1/4)$

$= x^{\frac{1}{2} + \frac{1}{4}} - x^{\frac{1}{4}}$ $=x^(1/2+1/4)-x^(1/4)$

$= (x^{\frac{1}{2}} \cdot x^{\frac{1}{4}}) - x^{\frac{1}{4}}$ $=(x^(1/2)*x^(1/4))-x^(1/4)$

$= (x^{\frac{1}{2}} - 1) x^{\frac{1}{4}}$ $=(x^(1/2) - 1)x^(1/4)$

...using $x^{a + b} = x^{a} \cdot x^{b}$ $x^(a+b) = x^a * x^b$

How do you simplify x^(3/4) - x^(1/4)x34−x14x^(3/4) - x^(1/4)?