What is e^{-4.8}(1+4.8+(4.8^2)/2+(4.8^3)/6) ?

The solution to e^{-4.8}(1+4.8+(4.8^2)/2+(4.8^3)/6) is 0.29422…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-4.8}(1+4.8+(4.8^2)/2+(4.8^3)/6)

simplify

e^{- 4.8} (1 + 4.8 + \frac{4. 8 ^{2}}{2} + \frac{4. 8 ^{3}}{6})

0.29422 \dots

Solution steps

e^{- 4.8} (1 + 4.8 + \frac{4. 8 ^{2}}{2} + \frac{4. 8 ^{3}}{6})

Apply exponent rule:

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

= \frac{1}{e ^{4.8}} (1 + 4.8 + \frac{4. 8 ^{2}}{2} + \frac{4. 8 ^{3}}{6})

Add the numbers:

1 + 4.8 = 5.8

= \frac{1}{e ^{4.8}} (5.8 + \frac{4. 8 ^{2}}{2} + \frac{4. 8 ^{3}}{6})

Join

5.8 + \frac{4. 8 ^{2}}{2} + \frac{4. 8 ^{3}}{6} : 5.8 + 29.952

= \frac{1}{e ^{4.8}} (5.8 + 29.952)

Add the numbers:

5.8 + 29.952 = 35.752

= 35.752 \cdot \frac{1}{e ^{4.8}}

Multiply fractions:

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

= \frac{1 \cdot 35.752}{e ^{4.8}}

Multiply the numbers:

1 \cdot 35.752 = 35.752

= \frac{35.752}{e ^{4.8}}

e^{4.8} = 121.51041 \dots

= \frac{35.752}{121.51041 \dots}

Divide the numbers:

\frac{35.752}{121.51041 \dots} = 0.29422 \dots

= 0.29422 \dots

e^{- \frac{7}{8}}

2 \cdot 3.14 \cdot 50 \cdot 1 0^{- 3}

6.93 \cdot 1 0^{- 3}

x^{5} (x + 3)^{5}

What is e^{-4.8}(1+4.8+(4.8^2)/2+(4.8^3)/6) ?
The solution to e^{-4.8}(1+4.8+(4.8^2)/2+(4.8^3)/6) is 0.29422…