What is (1/3 e^{-3x})(e^{-3x}) ?

The solution to (1/3 e^{-3x})(e^{-3x}) is 1/3 e^{-6x}

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simplify (1/3 e^{-3x})(e^{-3x})

simplify

(\frac{1}{3} e^{- 3 x}) (e^{- 3 x})

\frac{1}{3} e^{- 6 x}

Solution steps

(\frac{1}{3} 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}

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

Add similar elements:

- 3 x - 3 x = - 6 x

= \frac{1}{3} e^{- 6 x}

e^{- j θ} \cdot e^{- j θ}

3 x (3 x^{2})

4.4545 \cdot 1 0^{- 5}

8.76 \cdot 1 0^{- 3}

What is (1/3 e^{-3x})(e^{-3x}) ?
The solution to (1/3 e^{-3x})(e^{-3x}) is 1/3 e^{-6x}