Precalculus Examples

$\frac{1}{4^{7}} - \frac{6 \ln (4)}{4^{7}}$

Step 1

Combine the numerators over the common denominator.

$\frac{1 - 6 \ln (4)}{4^{7}}$

Step 2

Simplify each term.

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Step 2.1

Simplify $- 6 \ln (4)$ by moving $6$ inside the logarithm.

$\frac{1 - \ln (4^{6})}{4^{7}}$

Step 2.2

Raise $4$ to the power of $6$ .

$\frac{1 - \ln (4096)}{4^{7}}$

Step 3

Raise $4$ to the power of $7$ .

$\frac{1 - \ln (4096)}{16384}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1 - \ln (4096)}{16384}$

Decimal Form:

$- 0.00044664 \dots$