What is 20e^{-0.1(38)} ?

The solution to 20e^{-0.1(38)} is 0.44741…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 20e^{-0.1(38)}

simplify

20 e^{- 0.1 (38)}

0.44741 \dots

Solution steps

20 e^{- 0.1 (38)}

Apply exponent rule:

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

= 20 \cdot \frac{1}{e ^{38 \cdot 0.1}}

Multiply the numbers:

0.1 \cdot 38 = 3.8

= 20 \cdot \frac{1}{e ^{3.8}}

Multiply fractions:

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

= \frac{1 \cdot 20}{e ^{3.8}}

Multiply the numbers:

1 \cdot 20 = 20

= \frac{20}{e ^{3.8}}

e^{3.8} = 44.70118 \dots

= \frac{20}{44.70118 \dots}

Divide the numbers:

\frac{20}{44.70118 \dots} = 0.44741 \dots

= 0.44741 \dots

e^{- 4 x} (3 e^{3 x})

3 2 x + 5

0.0 7^{2} \cdot (1. 1^{- 4})

(3 x + 1)^{2} \cdot (- x + 4)^{2}

(e^{l n (x)})^{4}