Precalculus Examples

$\frac{\ln (\frac{1}{2})}{- 1600}$

Step 1

Rewrite $\frac{\ln (\frac{1}{2})}{- 1600}$ as $\frac{1}{- 1600} \ln (\frac{1}{2})$ .

$\frac{1}{- 1600} \ln (\frac{1}{2})$

Step 2

Simplify $\frac{1}{- 1600} \ln (\frac{1}{2})$ by moving $- \frac{1}{- 1600}$ inside the logarithm.

$- \ln ({(\frac{1}{2})}^{- \frac{1}{- 1600}})$

Step 3

Move the negative in front of the fraction.

$- \ln ({(\frac{1}{2})}^{- - \frac{1}{1600}})$

Step 4

Multiply $- - \frac{1}{1600}$ .

Tap for more steps...

Step 4.1

Multiply $- 1$ by $- 1$ .

$- \ln ({(\frac{1}{2})}^{1 (\frac{1}{1600})})$

Step 4.2

Multiply $\frac{1}{1600}$ by $1$ .

$- \ln ({(\frac{1}{2})}^{\frac{1}{1600}})$

Step 5

Apply the product rule to $\frac{1}{2}$ .

$- \ln (\frac{1^{\frac{1}{1600}}}{2^{\frac{1}{1600}}})$

Step 6

One to any power is one.

$- \ln (\frac{1}{2^{\frac{1}{1600}}})$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \ln (\frac{1}{2^{\frac{1}{1600}}})$

Decimal Form:

$0.00043321 \dots$