What is simplify-e^{-kt}*(-2ake^{-kt}) ?

The solution to simplify-e^{-kt}*(-2ake^{-kt}) is (2ak)/(e^{2kt)}

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simplify-e^{-kt}*(-2ake^{-kt})

simplify

- e^{- k t} \cdot (- 2 ak e^{- k t})

\frac{2 ak}{e ^{2 k t}}

Solution steps

- e^{- k t} (- 2 ak e^{- k t})

Apply exponent rule:

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

= - \frac{1}{e ^{k t}} (- 2 ak e^{- k t})

Apply rule

- (- a) = a

= \frac{1}{e ^{k t}} \cdot 2 ak e^{- k t}

Multiply fractions:

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

= \frac{1 \cdot 2 ak e ^{- k t}}{e ^{k t}}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2 ak e ^{- k t}}{e ^{k t}}

Apply exponent rule:

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

\frac{e ^{- k t}}{e ^{k t}} = e^{- k t - k t} = e^{- 2 k t}

= \frac{2 ak}{e ^{2 k t}}

7.05 \cdot 1 0^{- 5}

\frac{π}{2} e^{- 3 (- 0.1)}

\frac{1}{2 π} ((10000) \cdot (100 \cdot 1 0^{- 9}))

x - 2 x + 2

(e^{- x})^{- 1}

What is simplify-e^{-kt}*(-2ake^{-kt}) ?
The solution to simplify-e^{-kt}*(-2ake^{-kt}) is (2ak)/(e^{2kt)}