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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}}

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Frequently Asked Questions (FAQ)

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