Precalculus Examples

$x = \frac{119000}{1 + 5400 e^{- 4}}$

Step 1

Simplify the denominator.

Tap for more steps...

Step 1.1

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

$x = \frac{119000}{1 + 5400 \frac{1}{e^{4}}}$

Step 1.2

Combine $5400$ and $\frac{1}{e^{4}}$ .

$x = \frac{119000}{1 + \frac{5400}{e^{4}}}$

Step 1.3

Write $1$ as a fraction with a common denominator.

$x = \frac{119000}{\frac{e^{4}}{e^{4}} + \frac{5400}{e^{4}}}$

Step 1.4

Combine the numerators over the common denominator.

$x = \frac{119000}{\frac{e^{4} + 5400}{e^{4}}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$x = 119000 \frac{e^{4}}{e^{4} + 5400}$

Step 3

Combine $119000$ and $\frac{e^{4}}{e^{4} + 5400}$ .

$x = \frac{119000 e^{4}}{e^{4} + 5400}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{119000 e^{4}}{e^{4} + 5400}$

Decimal Form:

$x = 1191.13813249 \dots$