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

The solution to simplify-pi/2*e^{-0.2*4} is -pi/(4.45108…)

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simplify-pi/2e^{-0.24}

simplify

- \frac{π}{2} \cdot e^{- 0.2 \cdot 4}

- \frac{π}{4.45108 \dots}

Decimal

- 0.70580 \dots

Solution steps

- \frac{π}{2} e^{- 0.2 \cdot 4}

Apply exponent rule:

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

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

Multiply the numbers:

0.2 \cdot 4 = 0.8

= - \frac{π}{2} \cdot \frac{1}{e ^{0.8}}

Multiply fractions:

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

= - \frac{π 1}{2 e ^{0.8}}

Multiply:

π 1 = π

= - \frac{π}{2 e ^{0.8}}

Simplify

\frac{π}{2 e ^{0.8}} : \frac{π}{4.45108 \dots}

= - \frac{π}{4.45108 \dots}

8.6 \cdot 1 0^{- 4}

\frac{( 9 ) ^{5}}{5 !} e^{- 9}

e^{4 x} \cdot e^{- 4 x}

- \frac{1}{3} e^{- 3 x} \cdot e^{x}

e^{3} \cdot e^{x}

What is simplify-pi/2*e^{-0.2*4} ?
The solution to simplify-pi/2*e^{-0.2*4} is -pi/(4.45108…)