What is pi/2*e^{-0.2*(-4)} ?

The solution to pi/2*e^{-0.2*(-4)} is 3.49587…

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simplify pi/2e^{-0.2(-4)}

simplify

\frac{π}{2} \cdot e^{- 0.2 \cdot (- 4)}

3.49587 \dots

Solution steps

\frac{π}{2} e^{- 0.2 (- 4)}

Apply exponent rule:

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

= \frac{π}{2} \cdot \frac{1}{e ^{(- 4) \cdot 0.2}}

Remove parentheses:

(- a) = - a

= \frac{π}{2} \cdot \frac{1}{e ^{- 0.2 \cdot 4}}

\frac{1}{e ^{- 0.2 \cdot 4}} = e^{0.8}

= e^{0.8} \frac{π}{2}

Multiply fractions:

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

= \frac{π e ^{0.8}}{2}

e^{0.8} = 2.22554 \dots

= \frac{2.22554 \dots π}{2}

Multiply the numbers:

3.14159 \dots \cdot 2.22554 \dots = 6.99174 \dots

= \frac{6.99174 \dots}{2}

Divide the numbers:

\frac{6.99174 \dots}{2} = 3.49587 \dots

= 3.49587 \dots

1 0^{- 4} \cdot e^{\frac{- 250}{8.314 \cdot 670}}

49843.75 (\frac{1}{10} + \frac{1}{8})

(\frac{m ^{3} w ^{3}}{π h ^{3}})^{\frac{1}{4}}

(\frac{3 x + e ^{2 x} x}{2} - \frac{1}{4} e^{2 x}) e^{- 2 x}

6 (1) (1) e^{3 (1)^{2} (1)} (1)^{2}