Basic Math Examples

$d (18) = 880 e^{- 0.18 \cdot 18}$

Step 1

Simplify.

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Step 1.1

Multiply $- 0.18$ by $18$ .

$d (18) = 880 e^{- 3.24}$

Step 1.2

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

$d (18) = 880 \frac{1}{e^{3.24}}$

Step 1.3

Combine $880$ and $\frac{1}{e^{3.24}}$ .

$d (18) = \frac{880}{e^{3.24}}$

Step 2

Divide each term in $d (18) = \frac{880}{e^{3.24}}$ by $18$ and simplify.

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Step 2.1

Divide each term in $d (18) = \frac{880}{e^{3.24}}$ by $18$ .

$\frac{d (18)}{18} = \frac{\frac{880}{e^{3.24}}}{18}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $18$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{d \cdot 18}{18} = \frac{\frac{880}{e^{3.24}}}{18}$

Step 2.2.1.2

Divide $d$ by $1$ .

$d = \frac{\frac{880}{e^{3.24}}}{18}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$d = \frac{880}{e^{3.24}} \cdot \frac{1}{18}$

Step 2.3.2

Combine.

$d = \frac{880 \cdot 1}{e^{3.24} \cdot 18}$

Step 2.3.3

Cancel the common factor of $880$ and $18$ .

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Step 2.3.3.1

Factor $2$ out of $880 \cdot 1$ .

$d = \frac{2 (440 \cdot 1)}{e^{3.24} \cdot 18}$

Step 2.3.3.2

Cancel the common factors.

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Step 2.3.3.2.1

Factor $2$ out of $e^{3.24} \cdot 18$ .

$d = \frac{2 (440 \cdot 1)}{2 (e^{3.24} \cdot 9)}$

Step 2.3.3.2.2

Cancel the common factor.

$d = \frac{2 (440 \cdot 1)}{2 (e^{3.24} \cdot 9)}$

Step 2.3.3.2.3

Rewrite the expression.

$d = \frac{440 \cdot 1}{e^{3.24} \cdot 9}$

Step 2.3.4

Simplify the expression.

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Step 2.3.4.1

Multiply $440$ by $1$ .

$d = \frac{440}{e^{3.24} \cdot 9}$

Step 2.3.4.2

Move $9$ to the left of $e^{3.24}$ .

$d = \frac{440}{9 e^{3.24}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$d = \frac{440}{9 e^{3.24}}$

Decimal Form:

$d = 1.91467931 \dots$