Calculus Examples

$4 {(3)}^{3} e^{- (3)}$

Step 1

Raise $3$ to the power of $3$ .

$4 \cdot 27 e^{- (3)}$

Step 2

Multiply $4$ by $27$ .

$108 e^{- (3)}$

Step 3

Multiply $- 1$ by $3$ .

$108 e^{- 3}$

Step 4

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

$108 \frac{1}{e^{3}}$

Step 5

Combine $108$ and $\frac{1}{e^{3}}$ .

$\frac{108}{e^{3}}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{108}{e^{3}}$

Decimal Form:

$5.37700338 \dots$