What is simplify-30e^{-2t}*3e^{-2t} ?

The solution to simplify-30e^{-2t}*3e^{-2t} is -90e^{-4t}

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simplify-30e^{-2t}*3e^{-2t}

simplify

- 30 e^{- 2 t} \cdot 3 e^{- 2 t}

- 90 e^{- 4 t}

Solution steps

- 30 e^{- 2 t} \cdot 3 e^{- 2 t}

Apply exponent rule:

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

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

= - 30 \cdot 3 e^{- 2 t - 2 t}

Add similar elements:

- 2 t - 2 t = - 4 t

= - 30 \cdot 3 e^{- 4 t}

Multiply the numbers:

30 \cdot 3 = 90

= - 90 e^{- 4 t}

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What is simplify-30e^{-2t}*3e^{-2t} ?
The solution to simplify-30e^{-2t}*3e^{-2t} is -90e^{-4t}