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

The solution to e^{-4}*(4^4)/(4!) is (32)/(3e^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

e^{- 4} \cdot \frac{4 ^{4}}{4 !}

\frac{32}{3 e ^{4}}

Decimal Notation

0.19536 \dots

Solution steps

e^{- 4} \frac{4 ^{4}}{4 !}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

4^{4} = 256

= \frac{256}{e ^{4} \cdot 4 !}

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

= \frac{256}{24 e ^{4}}

Cancel the common factor:

8

= \frac{32}{3 e ^{4}}

- 5 x^{3} y \cdot (x y^{2})

9.62 \cdot 1 0^{- 3}

1000000 (1 - 0.24)^{- 3}

(1 + x)^{3} (1 - x)^{3}

4000000 (1 + 0.03)^{- 3}