Precalculus Examples

$4 x^{- \frac{5}{4}} + 8 x^{\frac{1}{4}}$

Step 1

Factor $4$ out of $4 x^{- \frac{5}{4}} + 8 x^{\frac{1}{4}}$ .

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Step 1.1

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

$4 (x^{- \frac{5}{4}}) + 8 x^{\frac{1}{4}}$

Step 1.2

Factor $4$ out of $8 x^{\frac{1}{4}}$ .

$4 (x^{- \frac{5}{4}}) + 4 (2 x^{\frac{1}{4}})$

Step 1.3

Factor $4$ out of $4 (x^{- \frac{5}{4}}) + 4 (2 x^{\frac{1}{4}})$ .

$4 (x^{- \frac{5}{4}} + 2 x^{\frac{1}{4}})$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$4 (\frac{1}{x^{\frac{5}{4}}} + 2 x^{\frac{1}{4}})$