Basic Math Examples

$3 \cdot 0.26 - e^{- 0.26}$

Step 1

Simplify each term.

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Step 1.1

Multiply $3$ by $0.26$ .

$0.78 - e^{- 0.26}$

Step 1.2

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

$0.78 - \frac{1}{e^{0.26}}$

Step 2

To write $0.78$ as a fraction with a common denominator, multiply by $\frac{e^{0.26}}{e^{0.26}}$ .

$\frac{0.78 e^{0.26}}{e^{0.26}} - \frac{1}{e^{0.26}}$

Step 3

Combine the numerators over the common denominator.

$\frac{0.78 e^{0.26} - 1}{e^{0.26}}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $0.78$ by $e^{0.26}$ .

$\frac{1.01160546 - 1}{e^{0.26}}$

Step 4.2

Subtract $1$ from $1.01160546$ .

$\frac{0.01160546}{e^{0.26}}$

Step 5

Replace $e$ with an approximation.

$\frac{0.01160546}{{2.71828182}^{0.26}}$

Step 6

Raise $2.71828182$ to the power of $0.26$ .

$\frac{0.01160546}{1.29693008}$

Step 7

Divide $0.01160546$ by $1.29693008$ .

$0.00894841$