Precalculus Examples

$12 x^{- \frac{3}{4}} + 6 x^{\frac{1}{4}}$

Step 1

Factor $6$ out of $12 x^{- \frac{3}{4}} + 6 x^{\frac{1}{4}}$ .

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Step 1.1

Factor $6$ out of $12 x^{- \frac{3}{4}}$ .

$6 (2 x^{- \frac{3}{4}}) + 6 x^{\frac{1}{4}}$

Step 1.2

Factor $6$ out of $6 x^{\frac{1}{4}}$ .

$6 (2 x^{- \frac{3}{4}}) + 6 (x^{\frac{1}{4}})$

Step 1.3

Factor $6$ out of $6 (2 x^{- \frac{3}{4}}) + 6 (x^{\frac{1}{4}})$ .

$6 (2 x^{- \frac{3}{4}} + x^{\frac{1}{4}})$

Step 2

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

$6 (2 \frac{1}{x^{\frac{3}{4}}} + x^{\frac{1}{4}})$

Step 3

Combine $2$ and $\frac{1}{x^{\frac{3}{4}}}$ .

$6 (\frac{2}{x^{\frac{3}{4}}} + x^{\frac{1}{4}})$