What is simplify-2e^{-2t}*4e^{2t} ?

The solution to simplify-2e^{-2t}*4e^{2t} is -8

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simplify-2e^{-2t}*4e^{2t}

simplify

- 2 e^{- 2 t} \cdot 4 e^{2 t}

- 8

Solution steps

- 2 e^{- 2 t} \cdot 4 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}

= - 2 \cdot 4 e^{- 2 t + 2 t}

Add similar elements:

- 2 t + 2 t = 0

= - 2 \cdot 4 e^{0}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= - 2 \cdot 4 \cdot 1

Multiply the numbers:

2 \cdot 4 \cdot 1 = 8

= - 8

- \frac{10}{5}

(4.3 x 1 0^{4}) x (3 x 1 0^{- 4})

400 e^{- 0.08664 (33)}

(e^{0^{2}})^{- 1}

0.203 \cdot 8.9 \cdot 1 0^{- 4}

What is simplify-2e^{-2t}*4e^{2t} ?
The solution to simplify-2e^{-2t}*4e^{2t} is -8