en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5*e^{(-4/1)}

Solution

simplify

5 \cdot e^{(- \frac{4}{1})}

Solution

\frac{5}{e ^{4}}

+1

Decimal Notation

0.09157 \dots

Solution steps

5 e^{(- \frac{4}{1})}

Apply exponent rule:

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

= 5 \cdot \frac{1}{e ^{\frac{4}{1}}}

Apply rule

\frac{a}{1} = a

\frac{4}{1} = 4

= 5 \cdot \frac{1}{e ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 5}{e ^{4}}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{5}{e ^{4}}

Popular Examples

simplify λe^{-λx}*λ^2ye^{-λy}simplify

λ e^{- λ x} \cdot λ^{2} y e^{- λ y}

simplify 2(2x^4(3x^3))simplify

2 (2 x^{4} (3 x^{3}))

simplify (sqrt(2))/(sqrt(pi))simplify

\frac{2}{π}

simplify y^4*e^{3y}*e^{-3y}simplify

y^{4} \cdot e^{3 y} \cdot e^{- 3 y}

simplify (1000)(89.1*10^{-6})simplify

(1000) (89.1 \cdot 1 0^{- 6})

Frequently Asked Questions (FAQ)

What is 5*e^{(-4/1)} ?
The solution to 5*e^{(-4/1)} is 5/(e^4)