What is simplify-2e^{-2x}*e^{8x} ?

The solution to simplify-2e^{-2x}*e^{8x} is -2e^{6x}

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simplify-2e^{-2x}*e^{8x}

simplify

- 2 e^{- 2 x} \cdot e^{8 x}

- 2 e^{6 x}

Solution steps

- 2 e^{- 2 x} e^{8 x}

Apply exponent rule:

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

e^{- 2 x} e^{8 x} = e^{- 2 x + 8 x}

= - 2 e^{- 2 x + 8 x}

Add similar elements:

- 2 x + 8 x = 6 x

= - 2 e^{6 x}

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

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7 e^{4 x} \cdot e^{- 4 x}

2.5 \cdot 1 0^{- 8} x^{2000}

What is simplify-2e^{-2x}*e^{8x} ?
The solution to simplify-2e^{-2x}*e^{8x} is -2e^{6x}