en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-2}*(2^2)/(2!)

Solution

simplify

e^{- 2} \cdot \frac{2 ^{2}}{2 !}

Solution

\frac{2}{e ^{2}}

+1

Decimal Notation

0.27067 \dots

Solution steps

e^{- 2} \frac{2 ^{2}}{2 !}

Apply exponent rule:

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

= \frac{1}{e ^{2}} \cdot \frac{2 ^{2}}{2 !}

Multiply fractions:

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

= \frac{1 \cdot 2 ^{2}}{e ^{2} \cdot 2 !}

Multiply:

1 \cdot 2^{2} = 2^{2}

= \frac{2 ^{2}}{e ^{2} \cdot 2 !}

2^{2} = 4

= \frac{4}{e ^{2} \cdot 2 !}

e^{2} \cdot 2! = 2 e^{2}

= \frac{4}{2 e ^{2}}

Divide the numbers:

\frac{4}{2} = 2

= \frac{2}{e ^{2}}

Popular Examples

simplify (100)(e^x)^{9-1}simplify

(100) (e^{x})^{9 - 1}

simplify 6(3*3+2)^{-1}*2.4 simplify

6 (3 \cdot 3 + 2)^{- 1} \cdot 2.4

simplify 5e^{-0.6t}simplify

5 e^{- 0.6 t}

simplify 3800(1+0.07)^{-5}simplify

3800 (1 + 0.07)^{- 5}

simplify 380.384*(70*10^{-3})simplify

380.384 \cdot (70 \cdot 1 0^{- 3})

Frequently Asked Questions (FAQ)

What is e^{-2}*(2^2)/(2!) ?
The solution to e^{-2}*(2^2)/(2!) is 2/(e^2)