What is simplify-pi/2 e^{-3(0.1)} ?

The solution to simplify-pi/2 e^{-3(0.1)} is -pi/(2.69971…)

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simplify-pi/2 e^{-3(0.1)}

simplify

- \frac{π}{2} e^{- 3 (0.1)}

- \frac{π}{2.69971 \dots}

Decimal Notation

- 1.16367 \dots

Solution steps

- \frac{π}{2} e^{- 3 (0.1)}

Apply exponent rule:

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

= - \frac{π}{2} \cdot \frac{1}{e ^{3 \cdot 0.1}}

Multiply the numbers:

3 \cdot 0.1 = 0.3

= - \frac{π}{2} \cdot \frac{1}{e ^{0.3}}

Multiply fractions:

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

= - \frac{π 1}{2 e ^{0.3}}

Multiply:

π 1 = π

= - \frac{π}{2 e ^{0.3}}

Simplify

\frac{π}{2 e ^{0.3}} : \frac{π}{2.69971 \dots}

= - \frac{π}{2.69971 \dots}

((- 7)^{3})^{3}

e^{- 0.5004}

62 y^{2} y

What is simplify-pi/2 e^{-3(0.1)} ?
The solution to simplify-pi/2 e^{-3(0.1)} is -pi/(2.69971…)