What is 0.25e^{-0.25(5)} ?

The solution to 0.25e^{-0.25(5)} is 0.07162…

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simplify 0.25e^{-0.25(5)}

simplify

0.25 e^{- 0.25 (5)}

0.07162 \dots

Solution steps

0.25 e^{- 0.25 (5)}

Apply exponent rule:

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

= 0.25 \cdot \frac{1}{e ^{5 \cdot 0.25}}

Multiply the numbers:

0.25 \cdot 5 = 1.25

= 0.25 \cdot \frac{1}{e ^{1.25}}

Multiply fractions:

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

= \frac{1 \cdot 0.25}{e ^{1.25}}

Multiply the numbers:

1 \cdot 0.25 = 0.25

= \frac{0.25}{e ^{1.25}}

e^{1.25} = 3.49034 \dots

= \frac{0.25}{3.49034 \dots}

Divide the numbers:

\frac{0.25}{3.49034 \dots} = 0.07162 \dots

= 0.07162 \dots

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