Finite Math Examples

$100 \cdot (- e^{- \frac{60}{100}})$

Step 1

Cancel the common factor of $60$ and $100$ .

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Step 1.1

Factor $20$ out of $60$ .

$100 \cdot (- e^{- \frac{20 (3)}{100}})$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $20$ out of $100$ .

$100 \cdot (- e^{- \frac{20 \cdot 3}{20 \cdot 5}})$

Step 1.2.2

Cancel the common factor.

$100 \cdot (- e^{- \frac{20 \cdot 3}{20 \cdot 5}})$

Step 1.2.3

Rewrite the expression.

$100 \cdot (- e^{- \frac{3}{5}})$

Step 2

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

$100 \cdot (- \frac{1}{e^{\frac{3}{5}}})$

Step 3

Multiply $100 (- \frac{1}{e^{\frac{3}{5}}})$ .

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Step 3.1

Multiply $- 1$ by $100$ .

$- 100 \frac{1}{e^{\frac{3}{5}}}$

Step 3.2

Combine $- 100$ and $\frac{1}{e^{\frac{3}{5}}}$ .

$\frac{- 100}{e^{\frac{3}{5}}}$

Step 4

Move the negative in front of the fraction.

$- \frac{100}{e^{\frac{3}{5}}}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{100}{e^{\frac{3}{5}}}$

Decimal Form:

$- 54.88116360 \dots$