What is 35e^{-0.35(14)} ?

The solution to 35e^{-0.35(14)} is 0.26063…

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simplify 35e^{-0.35(14)}

simplify

35 e^{- 0.35 (14)}

0.26063 \dots

Solution steps

35 e^{- 0.35 (14)}

Apply exponent rule:

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

= 35 \cdot \frac{1}{e ^{14 \cdot 0.35}}

Multiply the numbers:

0.35 \cdot 14 = 4.9

= 35 \cdot \frac{1}{e ^{4.9}}

Multiply fractions:

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

= \frac{1 \cdot 35}{e ^{4.9}}

Multiply the numbers:

1 \cdot 35 = 35

= \frac{35}{e ^{4.9}}

e^{4.9} = 134.28977 \dots

= \frac{35}{134.28977 \dots}

Divide the numbers:

\frac{35}{134.28977 \dots} = 0.26063 \dots

= 0.26063 \dots

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