Calculus Examples

$9 {(10)}^{2} e^{- (10)}$

Step 1

Raise $10$ to the power of $2$ .

$9 \cdot 100 e^{- (10)}$

Step 2

Multiply $9$ by $100$ .

$900 e^{- (10)}$

Step 3

Multiply $- 1$ by $10$ .

$900 e^{- 10}$

Step 4

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

$900 \frac{1}{e^{10}}$

Step 5

Combine $900$ and $\frac{1}{e^{10}}$ .

$\frac{900}{e^{10}}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{900}{e^{10}}$

Decimal Form:

$0.04085993 \dots$