What is 5/2 e^{-(-3.1606)/2} ?

The solution to 5/2 e^{-(-3.1606)/2} is 12.14103…

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simplify 5/2 e^{-(-3.1606)/2}

simplify

\frac{5}{2} e^{- \frac{- 3.1606}{2}}

12.14103 \dots

Solution steps

\frac{5}{2} e^{- \frac{- 3.1606}{2}}

Apply exponent rule:

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

= \frac{5}{2} \cdot \frac{1}{e ^{\frac{- 3.1606}{2}}}

\frac{1}{e ^{\frac{- 3.1606}{2}}} = e^{\frac{3.1606}{2}}

= e^{\frac{3.1606}{2}} \frac{5}{2}

Multiply fractions:

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

= \frac{5 e ^{\frac{3.1606}{2}}}{2}

e^{\frac{3.1606}{2}} = 4.85641 \dots

= \frac{5 \cdot 4.85641 \dots}{2}

Multiply the numbers:

5 \cdot 4.85641 \dots = 24.28206 \dots

= \frac{24.28206 \dots}{2}

Divide the numbers:

\frac{24.28206 \dots}{2} = 12.14103 \dots

= 12.14103 \dots

\frac{12 !}{6 ! ( 12 - 6 ) !} (x^{2})^{6} (\frac{4}{x})^{6}

e^{- 0.02 (10)}

45.1 \cdot 1 0^{- 5}

\frac{17}{3}

What is 5/2 e^{-(-3.1606)/2} ?
The solution to 5/2 e^{-(-3.1606)/2} is 12.14103…