What is 18e^{-0.2(1)} ?

The solution to 18e^{-0.2(1)} is 14.73715…

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simplify 18e^{-0.2(1)}

simplify

18 e^{- 0.2 (1)}

14.73715 \dots

Solution steps

18 e^{- 0.2 (1)}

Apply exponent rule:

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

= 18 \cdot \frac{1}{e ^{1 \cdot 0.2}}

Multiply the numbers:

0.2 \cdot 1 = 0.2

= 18 \cdot \frac{1}{e ^{0.2}}

Multiply fractions:

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

= \frac{1 \cdot 18}{e ^{0.2}}

Multiply the numbers:

1 \cdot 18 = 18

= \frac{18}{e ^{0.2}}

e^{0.2} = 1.22140 \dots

= \frac{18}{1.22140 \dots}

Divide the numbers:

\frac{18}{1.22140 \dots} = 14.73715 \dots

= 14.73715 \dots

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