What is simplify-e^{-x}*9e^{3x} ?

The solution to simplify-e^{-x}*9e^{3x} is -9e^{2x}

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simplify-e^{-x}*9e^{3x}

simplify

- e^{- x} \cdot 9 e^{3 x}

- 9 e^{2 x}

Solution steps

- e^{- x} \cdot 9 e^{3 x}

Apply exponent rule:

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

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

= - 9 e^{- x + 3 x}

Add similar elements:

- x + 3 x = 2 x

= - 9 e^{2 x}

e^{- \frac{26}{450}}

7.5 \cdot 1 0^{- 1}

1500 \cdot e^{- 2000 \cdot (\frac{1}{513.15} - \frac{1}{289})}

2.97 x 1 0^{- 2}

(\frac{3 d e ^{- 1}}{12 n e ^{2} f})^{(- 3)}

What is simplify-e^{-x}*9e^{3x} ?
The solution to simplify-e^{-x}*9e^{3x} is -9e^{2x}