What is 2e^{3t}*(-2)e^{2t} ?

The solution to 2e^{3t}*(-2)e^{2t} is -4e^{5t}

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simplify 2e^{3t}*(-2)e^{2t}

simplify

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

- 4 e^{5 t}

Solution steps

2 e^{3 t} (- 2) e^{2 t}

Apply exponent rule:

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

e^{3 t} e^{2 t} = e^{3 t + 2 t}

= 2 (- 2) e^{3 t + 2 t}

Add similar elements:

3 t + 2 t = 5 t

= 2 (- 2) e^{5 t}

Remove parentheses:

(- a) = - a

= - 2 \cdot 2 e^{5 t}

Multiply the numbers:

2 \cdot 2 = 4

= - 4 e^{5 t}

e^{- 16.66} \cdot 16.6 6^{10}

e^{x^{2}} e^{2 x + 1}

e^{- 16.67}

e^{- \frac{7}{30}}

(\frac{e ^{2}}{2}) e^{- 2}