What is 0.05e^{-8 pi/3} ?

The solution to 0.05e^{-8 pi/3} is 0.00001…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 0.05e^{-8 pi/3}

simplify

0.05 e^{- 8 \frac{π}{3}}

0.00001 \dots

Solution steps

0.05 e^{- 8 \cdot \frac{π}{3}}

Apply exponent rule:

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

= 0.05 \cdot \frac{1}{e ^{8 \cdot \frac{π}{3}}}

\frac{1}{e ^{8 \cdot \frac{π}{3}}} = \frac{1}{e ^{\frac{8 π}{3}}}

= 0.05 \cdot \frac{1}{e ^{\frac{8 π}{3}}}

Multiply fractions:

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

= \frac{1 \cdot 0.05}{e ^{\frac{π 8}{3}}}

Multiply the numbers:

1 \cdot 0.05 = 0.05

= \frac{0.05}{e ^{\frac{π 8}{3}}}

Convert element to a decimal form

e^{\frac{π 8}{3}} = 4348.47465 \dots

= \frac{0.05}{4348.47465 \dots}

Divide the numbers:

\frac{0.05}{4348.47465 \dots} = 0.00001 \dots

= 0.00001 \dots

2 e^{- 9 (0)}

e^{- 10392}

13 (2) e^{- (0.2) 2}

x + 3 \cdot 3 x + 1

(50 x^{2}) (50 yz)