en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-6}*(6^3)/(3!)

Solution

simplify

e^{- 6} \cdot \frac{6 ^{3}}{3 !}

Solution

\frac{36}{e ^{6}}

+1

Decimal Notation

0.08923 \dots

Solution steps

e^{- 6} \frac{6 ^{3}}{3 !}

Apply exponent rule:

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

= \frac{1}{e ^{6}} \cdot \frac{6 ^{3}}{3 !}

Multiply fractions:

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

= \frac{1 \cdot 6 ^{3}}{e ^{6} \cdot 3 !}

Multiply:

1 \cdot 6^{3} = 6^{3}

= \frac{6 ^{3}}{e ^{6} \cdot 3 !}

6^{3} = 216

= \frac{216}{e ^{6} \cdot 3 !}

e^{6} \cdot 3! = 6 e^{6}

= \frac{216}{6 e ^{6}}

Divide the numbers:

\frac{216}{6} = 36

= \frac{36}{e ^{6}}

Popular Examples

simplify 900e^{-900}simplify

900 e^{- 900}

simplify 4.38*10^{-7}simplify

4.38 \cdot 1 0^{- 7}

simplify 3.4*10^{-8}simplify

3.4 \cdot 1 0^{- 8}

simplify e^{-16.69}simplify

e^{- 16.69}

derivative of 2^{x+y}

\frac{d}{d x} (2^{x + y})

Frequently Asked Questions (FAQ)

What is e^{-6}*(6^3)/(3!) ?
The solution to e^{-6}*(6^3)/(3!) is (36)/(e^6)