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Popular >

simplify e^{-6}*(6^4)/(4!)

Solution

simplify

e^{- 6} \cdot \frac{6 ^{4}}{4 !}

Solution

\frac{54}{e ^{6}}

+1

Decimal Notation

0.13385 \dots

Solution steps

e^{- 6} \frac{6 ^{4}}{4 !}

Apply exponent rule:

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

= \frac{1}{e ^{6}} \cdot \frac{6 ^{4}}{4 !}

Multiply fractions:

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

= \frac{1 \cdot 6 ^{4}}{e ^{6} \cdot 4 !}

Multiply:

1 \cdot 6^{4} = 6^{4}

= \frac{6 ^{4}}{e ^{6} \cdot 4 !}

6^{4} = 1296

= \frac{1296}{e ^{6} \cdot 4 !}

e^{6} \cdot 4! = 24 e^{6}

= \frac{1296}{24 e ^{6}}

Divide the numbers:

\frac{1296}{24} = 54

= \frac{54}{e ^{6}}

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Frequently Asked Questions (FAQ)

What is e^{-6}*(6^4)/(4!) ?
The solution to e^{-6}*(6^4)/(4!) is (54)/(e^6)