What is 1/15 e^{15x}*e^{-3x} ?

The solution to 1/15 e^{15x}*e^{-3x} is 1/15 e^{12x}

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simplify 1/15 e^{15x}*e^{-3x}

simplify

\frac{1}{15} e^{15 x} \cdot e^{- 3 x}

\frac{1}{15} e^{12 x}

Solution steps

\frac{1}{15} e^{15 x} e^{- 3 x}

Apply exponent rule:

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

e^{15 x} e^{- 3 x} = e^{15 x - 3 x}

= \frac{1}{15} e^{15 x - 3 x}

Add similar elements:

15 x - 3 x = 12 x

= \frac{1}{15} e^{12 x}

e^{- 2 t} \cdot e^{- 3 t}

(3 + x)^{2} (3 - x)^{2}

1 \times e^{- 1}

\frac{5}{7}

What is 1/15 e^{15x}*e^{-3x} ?
The solution to 1/15 e^{15x}*e^{-3x} is 1/15 e^{12x}