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

The solution to 680e^{-0.0892t}*(-0.0892) is -(60.656)/(e^{0.0892t)}

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simplify 680e^{-0.0892t}*(-0.0892)

simplify

680 e^{- 0.0892 t} \cdot (- 0.0892)

- \frac{60.656}{e ^{0.0892 t}}

Solution steps

680 e^{- 0.0892 t} (- 0.0892)

Apply exponent rule:

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

= 680 (- 0.0892) \frac{1}{e ^{0.0892 t}}

Remove parentheses:

(- a) = - a

= - 680 \cdot \frac{1}{e ^{0.0892 t}} \cdot 0.0892

Multiply fractions:

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

= - 0.0892 \cdot \frac{1 \cdot 680}{e ^{0.0892 t}}

Multiply the numbers:

1 \cdot 680 = 680

= - 0.0892 \cdot \frac{680}{e ^{0.0892 t}}

Multiply fractions:

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

= - \frac{680 \cdot 0.0892}{e ^{0.0892 t}}

Multiply the numbers:

680 \cdot 0.0892 = 60.656

= - \frac{60.656}{e ^{0.0892 t}}

20 e^{- 0.5 (4)}

e^{- 23.26}

3 x \cdot x

\frac{x ^{a}}{y ^{a}}

What is 680e^{-0.0892t}*(-0.0892) ?
The solution to 680e^{-0.0892t}*(-0.0892) is -(60.656)/(e^{0.0892t)}