What is simplify-12e^{-3t}*(-2)e^{2t} ?

The solution to simplify-12e^{-3t}*(-2)e^{2t} is 24e^{-t}

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simplify-12e^{-3t}*(-2)e^{2t}

simplify

- 12 e^{- 3 t} \cdot (- 2) e^{2 t}

24 e^{- t}

Solution steps

- 12 e^{- 3 t} (- 2) e^{2 t}

Apply exponent rule:

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

e^{- 3 t} e^{2 t} = e^{- 3 t + 2 t}

= - 12 (- 2) e^{- 3 t + 2 t}

Add similar elements:

- 3 t + 2 t = - t

= - 12 (- 2) e^{- t}

Apply rule

- (- a) = a

= 12 \cdot 2 e^{- t}

Multiply the numbers:

12 \cdot 2 = 24

= 24 e^{- t}

- e^{- a t} \cdot (- t) e

4.6 x 1 0^{- 3}

u (t - a) e^{- b t} cos^{2} (t - a)

\frac{7 x}{5}

(6.31 \cdot 1 0^{- 7}) (7.22)

What is simplify-12e^{-3t}*(-2)e^{2t} ?
The solution to simplify-12e^{-3t}*(-2)e^{2t} is 24e^{-t}