What is 0.25e^{-0.25(3)} ?

The solution to 0.25e^{-0.25(3)} is 0.11809…

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simplify 0.25e^{-0.25(3)}

simplify

0.25 e^{- 0.25 (3)}

0.11809 \dots

Solution steps

0.25 e^{- 0.25 (3)}

Apply exponent rule:

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

= 0.25 \cdot \frac{1}{e ^{3 \cdot 0.25}}

Multiply the numbers:

0.25 \cdot 3 = 0.75

= 0.25 \cdot \frac{1}{e ^{0.75}}

Multiply fractions:

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

= \frac{1 \cdot 0.25}{e ^{0.75}}

Multiply the numbers:

1 \cdot 0.25 = 0.25

= \frac{0.25}{e ^{0.75}}

e^{0.75} = 2.11700 \dots

= \frac{0.25}{2.11700 \dots}

Divide the numbers:

\frac{0.25}{2.11700 \dots} = 0.11809 \dots

= 0.11809 \dots

(7 x^{2}) (5 x^{3})

16.76 e^{- 0.06 \cdot 5}

\frac{0.9 2 ^{2}}{0. 9 ^{2}}

10.8 \cdot 1 0^{- 6}

(7.2 x^{103}) x (8.05 x^{103})