What is e^{-1.6}*(1.6^4)/(4!) ?

The solution to e^{-1.6}*(1.6^4)/(4!) is 0.05513…

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simplify e^{-1.6}*(1.6^4)/(4!)

simplify

e^{- 1.6} \cdot \frac{1. 6 ^{4}}{4 !}

0.05513 \dots

Solution steps

e^{- 1.6} \frac{1. 6 ^{4}}{4 !}

Apply exponent rule:

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

= \frac{1}{e ^{1.6}} \cdot \frac{1. 6 ^{4}}{4 !}

Multiply fractions:

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

= \frac{1 \cdot 1. 6 ^{4}}{e ^{1.6} \cdot 4 !}

Multiply:

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

= \frac{1. 6 ^{4}}{e ^{1.6} \cdot 4 !}

1. 6^{4} = 6.5536

= \frac{6.5536}{e ^{1.6} \cdot 4 !}

e^{1.6} \cdot 4! = 24 e^{1.6}

= \frac{6.5536}{24 e ^{1.6}}

e^{1.6} = 4.95303 \dots

= \frac{6.5536}{24 \cdot 4.95303 \dots}

Multiply the numbers:

24 \cdot 4.95303 \dots = 118.87277 \dots

= \frac{6.5536}{118.87277 \dots}

Divide the numbers:

\frac{6.5536}{118.87277 \dots} = 0.05513 \dots

= 0.05513 \dots

\frac{e ^{- 4 x}}{e ^{- 8 x}}

\cdot 4.51 \cdot 54 0^{- 0.265}

4 e^{- 2 t} \cdot (- \frac{7}{16}) t^{2} e^{\frac{1}{2} t}

e^{x} e^{3}

(\frac{1}{3})^{- 6 π}

What is e^{-1.6}*(1.6^4)/(4!) ?
The solution to e^{-1.6}*(1.6^4)/(4!) is 0.05513…