What is 10e^{-5000x}*20e^{-5000x} ?

The solution to 10e^{-5000x}*20e^{-5000x} is 200e^{-10000x}

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simplify 10e^{-5000x}*20e^{-5000x}

simplify

10 e^{- 5000 x} \cdot 20 e^{- 5000 x}

200 e^{- 10000 x}

Solution steps

10 e^{- 5000 x} \cdot 20 e^{- 5000 x}

Apply exponent rule:

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

e^{- 5000 x} e^{- 5000 x} = e^{- 5000 x - 5000 x}

= 10 \cdot 20 e^{- 5000 x - 5000 x}

Add similar elements:

- 5000 x - 5000 x = - 10000 x

= 10 \cdot 20 e^{- 10000 x}

Multiply the numbers:

10 \cdot 20 = 200

= 200 e^{- 10000 x}

5 e^{- 1.69999}

\frac{8}{5} e^{- 40 t}

(- 5) e^{- 3}

cos (3 x) (36 e^{- x} cos (3 x))

What is 10e^{-5000x}*20e^{-5000x} ?
The solution to 10e^{-5000x}*20e^{-5000x} is 200e^{-10000x}