What is 2(λe^{-λt})(e^{-λt}) ?

The solution to 2(λe^{-λt})(e^{-λt}) is 2λe^{-2λt}

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simplify 2(λe^{-λt})(e^{-λt})

simplify

2 (λ e^{- λ t}) (e^{- λ t})

2 λ e^{- 2 λ t}

Solution steps

2 (λ e^{- λ t}) (e^{- λ t})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- λ t} e^{- λ t} = e^{- λ t - λ t}

= 2 λ e^{- λ t - λ t}

Add similar elements:

- λ t - λ t = - 2 λ t

= 2 λ e^{- 2 λ t}

\frac{3}{14}

3^{\frac{3}{4}} \cdot 2 7^{\frac{3}{4}}

43 \cdot 4

(7 x^{5}) (5 x y^{8})

What is 2(λe^{-λt})(e^{-λt}) ?
The solution to 2(λe^{-λt})(e^{-λt}) is 2λe^{-2λt}