What is 34.416e^{-0.18(9)} ?

The solution to 34.416e^{-0.18(9)} is 6.81088…

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simplify 34.416e^{-0.18(9)}

simplify

34.416 e^{- 0.18 (9)}

6.81088 \dots

Solution steps

34.416 e^{- 0.18 (9)}

Apply exponent rule:

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

= 34.416 \cdot \frac{1}{e ^{9 \cdot 0.18}}

Multiply the numbers:

0.18 \cdot 9 = 1.62

= 34.416 \cdot \frac{1}{e ^{1.62}}

Multiply fractions:

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

= \frac{1 \cdot 34.416}{e ^{1.62}}

Multiply the numbers:

1 \cdot 34.416 = 34.416

= \frac{34.416}{e ^{1.62}}

e^{1.62} = 5.05309 \dots

= \frac{34.416}{5.05309 \dots}

Divide the numbers:

\frac{34.416}{5.05309 \dots} = 6.81088 \dots

= 6.81088 \dots

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