What is 4500e^{-0.1345(35)} ?

The solution to 4500e^{-0.1345(35)} is 40.62292…

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simplify 4500e^{-0.1345(35)}

simplify

4500 e^{- 0.1345 (35)}

40.62292 \dots

Solution steps

4500 e^{- 0.1345 (35)}

Apply exponent rule:

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

= 4500 \cdot \frac{1}{e ^{35 \cdot 0.1345}}

Multiply the numbers:

0.1345 \cdot 35 = 4.7075

= 4500 \cdot \frac{1}{e ^{4.7075}}

Multiply fractions:

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

= \frac{1 \cdot 4500}{e ^{4.7075}}

Multiply the numbers:

1 \cdot 4500 = 4500

= \frac{4500}{e ^{4.7075}}

e^{4.7075} = 110.77487 \dots

= \frac{4500}{110.77487 \dots}

Divide the numbers:

\frac{4500}{110.77487 \dots} = 40.62292 \dots

= 40.62292 \dots

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