Factor 5/4x^(1/4)+7/4x^(5/4)

$\frac{5}{4} x^{\frac{1}{4}} + \frac{7}{4} x^{\frac{5}{4}}$

Step 1

Factor $x^{\frac{1}{4}}$ out of $\frac{5}{4} x^{\frac{1}{4}} + \frac{7}{4} x^{\frac{5}{4}}$ .

Reorder the expression.

Reorder $\frac{5}{4}$ and $x^{\frac{1}{4}}$ .

$x^{\frac{1}{4}} \frac{5}{4} + \frac{7}{4} x^{\frac{5}{4}}$

Reorder $\frac{7}{4}$ and $x^{\frac{5}{4}}$ .

$x^{\frac{1}{4}} \frac{5}{4} + x^{\frac{5}{4}} \frac{7}{4}$

Factor $x^{\frac{1}{4}}$ out of $x^{\frac{5}{4}} \frac{7}{4}$ .

$x^{\frac{1}{4}} (\frac{5}{4}) + x^{\frac{1}{4}} (x^{\frac{4}{4}} \frac{7}{4})$

Factor $x^{\frac{1}{4}}$ out of $x^{\frac{1}{4}} (\frac{5}{4}) + x^{\frac{1}{4}} (x^{\frac{4}{4}} \frac{7}{4})$ .

$x^{\frac{1}{4}} (\frac{5}{4} + x^{\frac{4}{4}} \frac{7}{4})$

Step 2

Divide $4$ by $4$ .

$x^{\frac{1}{4}} (\frac{5}{4} + x^{1} \frac{7}{4})$

Step 3

Simplify.

$x^{\frac{1}{4}} (\frac{5}{4} + x \frac{7}{4})$

Step 4

Combine $x$ and $\frac{7}{4}$ .

$x^{\frac{1}{4}} (\frac{5}{4} + \frac{x \cdot 7}{4})$

Step 5

Move $7$ to the left of $x$ .

$x^{\frac{1}{4}} (\frac{5}{4} + \frac{7 \cdot x}{4})$

Step 6

Multiply $7$ by $x$ .

$x^{\frac{1}{4}} (\frac{5}{4} + \frac{7 x}{4})$