What is 2200e^{-0.68(14)} ?

The solution to 2200e^{-0.68(14)} is 0.16141…

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simplify 2200e^{-0.68(14)}

simplify

2200 e^{- 0.68 (14)}

0.16141 \dots

Solution steps

2200 e^{- 0.68 (14)}

Apply exponent rule:

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

= 2200 \cdot \frac{1}{e ^{14 \cdot 0.68}}

Multiply the numbers:

0.68 \cdot 14 = 9.52

= 2200 \cdot \frac{1}{e ^{9.52}}

Multiply fractions:

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

= \frac{1 \cdot 2200}{e ^{9.52}}

Multiply the numbers:

1 \cdot 2200 = 2200

= \frac{2200}{e ^{9.52}}

e^{9.52} = 13629.61121 \dots

= \frac{2200}{13629.61121 \dots}

Divide the numbers:

\frac{2200}{13629.61121 \dots} = 0.16141 \dots

= 0.16141 \dots

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