simplify 27e^{-3}

Solution

simplify

27 e^{- 3}

\frac{27}{e ^{3}}

Decimal Notation

1.34425 \dots

Solution steps

27 e^{- 3}

Apply exponent rule:

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

= 27 \cdot \frac{1}{e ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 27}{e ^{3}}

Multiply the numbers:

1 \cdot 27 = 27

= \frac{27}{e ^{3}}

2 ab (3 \frac{a}{b} - 2 \frac{b}{a ^{3}})

1 + x^{2} \cdot 1 - x

(2 x + 1) e^{- x}

(e^{x}) (x e^{x})

1.9 \times 1 0^{- 3}