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Popular >

simplify e^{-4}*(4^1)/(1!)

Solution

simplify

e^{- 4} \cdot \frac{4 ^{1}}{1 !}

Solution

\frac{4}{e ^{4}}

+1

Decimal Notation

0.07326 \dots

Solution steps

e^{- 4} \frac{4 ^{1}}{1 !}

Apply exponent rule:

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

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

Apply rule

a^{1} = a

4^{1} = 4

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 4 = 4

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

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

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

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Frequently Asked Questions (FAQ)

What is e^{-4}*(4^1)/(1!) ?
The solution to e^{-4}*(4^1)/(1!) is 4/(e^4)