What is 1/(-0.2)e^{-0.2(3)} ?

The solution to 1/(-0.2)e^{-0.2(3)} is -2.74405…

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simplify 1/(-0.2)e^{-0.2(3)}

simplify

\frac{1}{- 0.2} e^{- 0.2 (3)}

- 2.74405 \dots

Solution steps

\frac{1}{- 0.2} e^{- 0.2 (3)}

Apply exponent rule:

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

= \frac{1}{- 0.2} \cdot \frac{1}{e ^{3 \cdot 0.2}}

Apply the fraction rule:

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

= - \frac{1}{0.2} \cdot \frac{1}{e ^{3 \cdot 0.2}}

Multiply the numbers:

0.2 \cdot 3 = 0.6

= - \frac{1}{0.2} \cdot \frac{1}{e ^{0.6}}

Multiply fractions:

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

= - \frac{1 \cdot 1}{0.2 e ^{0.6}}

Multiply the numbers:

1 \cdot 1 = 1

= - \frac{1}{0.2 e ^{0.6}}

Simplify

\frac{1}{0.2 e ^{0.6}} : 2.74405 \dots

= - 2.74405 \dots

e^{7} \cdot e^{9}

225 \cdot 1 0^{- 6} \frac{1600}{π}

\frac{8 - x}{x - 3}

2 \cdot π \cdot 60 \cdot 12.74 \cdot 1 0^{- 9}

820000 e^{- 0.45}