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

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

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

simplify

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

- 4

Solution steps

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

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

= - e^{- 2 t} \cdot 2^{1 + 1} e^{2 t}

Add the numbers:

1 + 1 = 2

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

Add similar elements:

- 2 t + 2 t = 0

= - 2^{2} e^{0}

Apply rule

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

e^{0} = 1

= - 2^{2} \cdot 1

Multiply:

2^{2} \cdot 1 = 2^{2}

= - 2^{2}

2^{2} = 4

= - 4

(63) \cdot 3

2 x e^{- x}

(4 x^{5}) (9 x^{3})

e^{- x} \cdot e^{- \frac{1}{3} x}

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