en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3e^{-3*0.4}

Solution

simplify

3 e^{- 3 \cdot 0.4}

Solution

0.90358 \dots

Solution steps

3 e^{- 3 \cdot 0.4}

Apply exponent rule:

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

= 3 \cdot \frac{1}{e ^{3 \cdot 0.4}}

Multiply the numbers:

3 \cdot 0.4 = 1.2

= 3 \cdot \frac{1}{e ^{1.2}}

Multiply fractions:

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

= \frac{1 \cdot 3}{e ^{1.2}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3}{e ^{1.2}}

e^{1.2} = 3.32011 \dots

= \frac{3}{3.32011 \dots}

Divide the numbers:

\frac{3}{3.32011 \dots} = 0.90358 \dots

= 0.90358 \dots

Popular Examples

simplify (2x10^9)(3.4x10^{-4})simplify

(2 x 1 0^{9}) (3.4 x 1 0^{- 4})

simplify e^{(-x/2)}x simplify

e^{(- \frac{x}{2})} x

simplify e^3*e^{-(-x+4)}simplify

e^{3} \cdot e^{- (- x + 4)}

simplify 577000e^{-0.022(4)}simplify

577000 e^{- 0.022 (4)}

simplify 9.11*10^{-28}*17 simplify

9.11 \cdot 1 0^{- 28} \cdot 17

Frequently Asked Questions (FAQ)

What is 3e^{-3*0.4} ?
The solution to 3e^{-3*0.4} is 0.90358…