What is 0.18e^{-0.18(14)} ?

The solution to 0.18e^{-0.18(14)} is 0.01448…

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simplify 0.18e^{-0.18(14)}

simplify

0.18 e^{- 0.18 (14)}

0.01448 \dots

Solution steps

0.18 e^{- 0.18 (14)}

Apply exponent rule:

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

= 0.18 \cdot \frac{1}{e ^{14 \cdot 0.18}}

Multiply the numbers:

0.18 \cdot 14 = 2.52

= 0.18 \cdot \frac{1}{e ^{2.52}}

Multiply fractions:

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

= \frac{1 \cdot 0.18}{e ^{2.52}}

Multiply the numbers:

1 \cdot 0.18 = 0.18

= \frac{0.18}{e ^{2.52}}

e^{2.52} = 12.42859 \dots

= \frac{0.18}{12.42859 \dots}

Divide the numbers:

\frac{0.18}{12.42859 \dots} = 0.01448 \dots

= 0.01448 \dots

(46) (46)

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