What is 680e^{-0.0892(5)} ?

The solution to 680e^{-0.0892(5)} is 435.32496…

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simplify 680e^{-0.0892(5)}

simplify

680 e^{- 0.0892 (5)}

435.32496 \dots

Solution steps

680 e^{- 0.0892 (5)}

Apply exponent rule:

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

= 680 \cdot \frac{1}{e ^{5 \cdot 0.0892}}

Multiply the numbers:

0.0892 \cdot 5 = 0.446

= 680 \cdot \frac{1}{e ^{0.446}}

Multiply fractions:

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

= \frac{1 \cdot 680}{e ^{0.446}}

Multiply the numbers:

1 \cdot 680 = 680

= \frac{680}{e ^{0.446}}

e^{0.446} = 1.56205 \dots

= \frac{680}{1.56205 \dots}

Divide the numbers:

\frac{680}{1.56205 \dots} = 435.32496 \dots

= 435.32496 \dots

\frac{3 0 ^{2}}{1 8 ^{2}} \cdot 2.96

100 \cdot e^{- 3.64}

e^{3 t} \cdot e^{4 t}

1.96 \cdot 1 0^{- 7}