What is 1/2*159150*(-1.27-13.93)^2*10^{-6} ?

The solution to 1/2*159150*(-1.27-13.93)^2*10^{-6} is 1149063/62500

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simplify 1/2159150(-1.27-13.93)^2*10^{-6}

simplify

\frac{1}{2} \cdot 159150 \cdot (- 1.27 - 13.93)^{2} \cdot 1 0^{- 6}

\frac{1149063}{62500}

Decimal Notation

18.385008

Solution steps

\frac{1}{2} \cdot 159150 (- 1.27 - 13.93)^{2} \cdot 1 0^{- 6}

(- 1.27 - 13.93)^{2} = 231.04

= \frac{1}{2} \cdot 159150 \cdot 231.04 \cdot 1 0^{- 6}

Apply exponent rule:

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

1 0^{- 6} = \frac{1}{1 0 ^{6}}

= \frac{1}{2} \cdot 159150 \cdot 231.04 \cdot \frac{1}{1 0 ^{6}}

1 0^{6} = 1000000

= \frac{1}{2} \cdot 159150 \cdot 231.04 \cdot \frac{1}{1000000}

\frac{1}{2} \cdot 159150 \cdot 231.04 \cdot \frac{1}{1000000} = \frac{1149063}{62500}

= \frac{1149063}{62500}

e^{- x^{10}} \cdot x^{9}

- 2 a e^{- a x^{2}} x

2^{\frac{1}{4}} 8^{\frac{1}{4}}

\frac{( 0.25 \cdot 8 ) ^{4}}{4 !} e^{- 0.25 \cdot 8}

What is 1/2*159150*(-1.27-13.93)^2*10^{-6} ?
The solution to 1/2*159150*(-1.27-13.93)^2*10^{-6} is 1149063/62500