Precalculus Examples

$\frac{x^{- \frac{1}{2}} \cdot (2^{x^{\frac{1}{2}}} \ln (2))}{2}$

Step 1

Move $x^{- \frac{1}{2}}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{2^{x^{\frac{1}{2}}} \ln (2)}{2 x^{\frac{1}{2}}}$

Step 2

Factor $2$ out of $2^{x^{\frac{1}{2}}} \ln (2)$ .

$\frac{2 (2^{x^{\frac{1}{2}} - 1} \ln (2))}{2 x^{\frac{1}{2}}}$

Step 3

Cancel the common factors.

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Step 3.1

Factor $2$ out of $2 x^{\frac{1}{2}}$ .

$\frac{2 (2^{x^{\frac{1}{2}} - 1} \ln (2))}{2 (x^{\frac{1}{2}})}$

Step 3.2

Cancel the common factor.

$\frac{2 (2^{x^{\frac{1}{2}} - 1} \ln (2))}{2 x^{\frac{1}{2}}}$

Step 3.3

Rewrite the expression.

$\frac{2^{x^{\frac{1}{2}} - 1} \ln (2)}{x^{\frac{1}{2}}}$