What is e^{-1.6}*((1.6^4)/(4!)) ?

The solution to e^{-1.6}*((1.6^4)/(4!)) is 0.05513…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-1.6}*((1.6^4)/(4!))

simplify

e^{- 1.6} \cdot (\frac{1. 6 ^{4}}{4 !})

0.05513 \dots

Solution steps

e^{- 1.6} (\frac{1. 6 ^{4}}{4 !})

Apply exponent rule:

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

= \frac{1}{e ^{1.6}} \cdot \frac{1. 6 ^{4}}{4 !}

Multiply fractions:

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

= \frac{1 \cdot 1. 6 ^{4}}{e ^{1.6} \cdot 4 !}

Multiply:

1 \cdot 1. 6^{4} = 1. 6^{4}

= \frac{1. 6 ^{4}}{e ^{1.6} \cdot 4 !}

1. 6^{4} = 6.5536

= \frac{6.5536}{e ^{1.6} \cdot 4 !}

e^{1.6} \cdot 4! = 24 e^{1.6}

= \frac{6.5536}{24 e ^{1.6}}

e^{1.6} = 4.95303 \dots

= \frac{6.5536}{24 \cdot 4.95303 \dots}

Multiply the numbers:

24 \cdot 4.95303 \dots = 118.87277 \dots

= \frac{6.5536}{118.87277 \dots}

Divide the numbers:

\frac{6.5536}{118.87277 \dots} = 0.05513 \dots

= 0.05513 \dots

2^{7} \cdot 3^{7}

x^{- 2 = 36}

\frac{1}{4} e^{- l n (x) y}

4 e^{- (0)}

2.45 \cdot 1 0^{0} \cdot \frac{1 0 ^{- 3}}{1 0 ^{0}}

What is e^{-1.6}*((1.6^4)/(4!)) ?
The solution to e^{-1.6}*((1.6^4)/(4!)) is 0.05513…