What is e^{-3.154}(3.154^1)/(1!)*500 ?

The solution to e^{-3.154}(3.154^1)/(1!)*500 is 67.30803…

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simplify e^{-3.154}(3.154^1)/(1!)*500

simplify

e^{- 3.154} \frac{3.15 4 ^{1}}{1 !} \cdot 500

67.30803 \dots

Solution steps

e^{- 3.154} \frac{3.15 4 ^{1}}{1 !} \cdot 500

Apply exponent rule:

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

= 500 \cdot \frac{1}{e ^{3.154}} \cdot \frac{3.15 4 ^{1}}{1 !}

Apply rule

a^{1} = a

3.15 4^{1} = 3.154

= 500 \cdot \frac{3.154}{1 !} \cdot \frac{1}{e ^{3.154}}

Multiply fractions:

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

= \frac{1 \cdot 3.154 \cdot 500}{e ^{3.154} \cdot 1 !}

Multiply the numbers:

1 \cdot 3.154 \cdot 500 = 1577

= \frac{1577}{e ^{3.154} \cdot 1 !}

e^{3.154} \cdot 1! = e^{3.154}

= \frac{1577}{e ^{3.154}}

e^{3.154} = 23.42959 \dots

= \frac{1577}{23.42959 \dots}

Divide the numbers:

\frac{1577}{23.42959 \dots} = 67.30803 \dots

= 67.30803 \dots

4 x^{3} (2 x y)

\frac{e ^{- x}}{e ^{- y}}

(8^{l o g_{8} (π)})^{9.9}

x^{\frac{7}{4}}

(8^{l o g_{8} (π)})^{9.1}

What is e^{-3.154}(3.154^1)/(1!)*500 ?
The solution to e^{-3.154}(3.154^1)/(1!)*500 is 67.30803…