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

The solution to pi/2 e^{-3(-0.1)} is 2.12035…

Popular >

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

simplify

\frac{π}{2} e^{- 3 (- 0.1)}

2.12035 \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 (- 0.1)}}

Remove parentheses:

(- a) = - a

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

\frac{1}{e ^{- 3 \cdot 0.1}} = e^{0.3}

= e^{0.3} \frac{π}{2}

Multiply fractions:

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

= \frac{π e ^{0.3}}{2}

e^{0.3} = 1.34985 \dots

= \frac{1.34985 \dots π}{2}

Multiply the numbers:

3.14159 \dots \cdot 1.34985 \dots = 4.24070 \dots

= \frac{4.24070 \dots}{2}

Divide the numbers:

\frac{4.24070 \dots}{2} = 2.12035 \dots

= 2.12035 \dots

\frac{1}{2 π} ((10000) \cdot (100 \cdot 1 0^{- 9}))

x - 2 x + 2

(e^{- x})^{- 1}

(1 - x)^{2} \cdot (1 + x)^{2}

(e^{\frac{0.7 x}{1.7}})^{2}