simplify 40e^{-3}

Solution

simplify

40 e^{- 3}

\frac{40}{e ^{3}}

Decimal Notation

1.99148 \dots

Solution steps

40 e^{- 3}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 40 \cdot \frac{1}{e ^{3}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 40}{e ^{3}}

Multiply the numbers:

1 \cdot 40 = 40

= \frac{40}{e ^{3}}

(x - 2) (x - 6)

\frac{1.0 1 ^{365}}{0.9 9 ^{365}}

1 0^{3} 0. 1^{- 6}

8000 (1 + \frac{0.12}{12})^{- 12}

1000 \cdot e^{- 0.1 \cdot 2}