What is simplify-e^{-3x}*e^{3x} ?

The solution to simplify-e^{-3x}*e^{3x} is -1

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simplify-e^{-3x}*e^{3x}

simplify

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

- 1

Solution steps

- e^{- 3 x} e^{3 x}

Apply exponent rule:

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

e^{- 3 x} e^{3 x} = e^{- 3 x + 3 x}

= - e^{- 3 x + 3 x}

Add similar elements:

- 3 x + 3 x = 0

= - e^{0}

Apply rule

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

= - 1

(2 x 1 0^{- 2}) (6.28 x 1 0^{9})

((1 + \frac{x}{360})^{4} (1 + \frac{3 x}{360})^{3})^{4}

- \frac{3}{2} \cdot e^{x^{2}} \cdot e^{- x^{2}}

3.74 \cdot 1 0^{- 19}

- 2.6 e^{(- 0.2 \cdot 5)}