What is simplify-1/3 e^{-3x}*e^x ?

The solution to simplify-1/3 e^{-3x}*e^x is -1/3 e^{-2x}

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simplify-1/3 e^{-3x}*e^x

simplify

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

- \frac{1}{3} e^{- 2 x}

Solution steps

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

Apply exponent rule:

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

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

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

Add similar elements:

- 3 x + x = - 2 x

= - \frac{1}{3} e^{- 2 x}

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

2^{x - 2}

e^{- r t}

x \cdot (e^{x^{2}} \cdot 2 x)

0.01 \cdot 0.02 5^{2} \cdot 0.03 8^{3} \cdot 0.0 4^{2} \cdot 0.04 8^{3} \cdot 0.04

What is simplify-1/3 e^{-3x}*e^x ?
The solution to simplify-1/3 e^{-3x}*e^x is -1/3 e^{-2x}