Finite Math Examples

$27 - 27 e^{- 0.4 \cdot 1}$

Step 1

Simplify each term.

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Step 1.1

Multiply $- 0.4$ by $1$ .

$27 - 27 e^{- 0.4}$

Step 1.2

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

$27 - 27 \frac{1}{e^{0.4}}$

Step 1.3

Combine $- 27$ and $\frac{1}{e^{0.4}}$ .

$27 + \frac{- 27}{e^{0.4}}$

Step 1.4

Move the negative in front of the fraction.

$27 - \frac{27}{e^{0.4}}$

Step 2

To write $27$ as a fraction with a common denominator, multiply by $\frac{e^{0.4}}{e^{0.4}}$ .

$\frac{27 e^{0.4}}{e^{0.4}} - \frac{27}{e^{0.4}}$

Step 3

Combine the numerators over the common denominator.

$\frac{27 e^{0.4} - 27}{e^{0.4}}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{27 e^{0.4} - 27}{e^{0.4}}$

Decimal Form:

$8.90135875 \dots$