What is 3e^{5t}*6e^{3t} ?

The solution to 3e^{5t}*6e^{3t} is 18e^{8t}

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simplify 3e^{5t}*6e^{3t}

simplify

3 e^{5 t} \cdot 6 e^{3 t}

18 e^{8 t}

Solution steps

3 e^{5 t} \cdot 6 e^{3 t}

Apply exponent rule:

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

e^{5 t} e^{3 t} = e^{5 t + 3 t}

= 3 \cdot 6 e^{5 t + 3 t}

Add similar elements:

5 t + 3 t = 8 t

= 3 \cdot 6 e^{8 t}

Multiply the numbers:

3 \cdot 6 = 18

= 18 e^{8 t}

e^{- 0.001 \cdot 200}

400 e^{- \frac{l n ( 2 ) t}{138}}

\frac{4 x + 1}{x}

e^{3 x} (e^{- x})

e^{- 2 y} \cdot 4 y