Finite Math Examples

$49 - 26 e^{- 0.4 \cdot 8}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Multiply $- 0.4$ by $8$ .

$49 - 26 e^{- 3.2}$

Step 1.2

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

$49 - 26 \frac{1}{e^{3.2}}$

Step 1.3

Combine $- 26$ and $\frac{1}{e^{3.2}}$ .

$49 + \frac{- 26}{e^{3.2}}$

Step 1.4

Move the negative in front of the fraction.

$49 - \frac{26}{e^{3.2}}$

Step 2

To write $49$ as a fraction with a common denominator, multiply by $\frac{e^{3.2}}{e^{3.2}}$ .

$\frac{49 e^{3.2}}{e^{3.2}} - \frac{26}{e^{3.2}}$

Step 3

Combine the numerators over the common denominator.

$\frac{49 e^{3.2} - 26}{e^{3.2}}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{49 e^{3.2} - 26}{e^{3.2}}$

Decimal Form:

$47.94018269 \dots$