What is 3.86*e^{-0.39*7} ?

The solution to 3.86*e^{-0.39*7} is 0.25174…

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simplify 3.86e^{-0.397}

simplify

3.86 \cdot e^{- 0.39 \cdot 7}

0.25174 \dots

Solution steps

3.86 e^{- 0.39 \cdot 7}

Apply exponent rule:

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

= 3.86 \cdot \frac{1}{e ^{7 \cdot 0.39}}

Multiply the numbers:

0.39 \cdot 7 = 2.73

= 3.86 \cdot \frac{1}{e ^{2.73}}

Multiply fractions:

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

= \frac{1 \cdot 3.86}{e ^{2.73}}

Multiply the numbers:

1 \cdot 3.86 = 3.86

= \frac{3.86}{e ^{2.73}}

e^{2.73} = 15.33288 \dots

= \frac{3.86}{15.33288 \dots}

Divide the numbers:

\frac{3.86}{15.33288 \dots} = 0.25174 \dots

= 0.25174 \dots

7 (42)

7.0237167 \cdot 1 0^{- 3}

(6^{25})^{x - 2}

e^{- x^{2}} x

x^{2} - 4 \cdot x + 4