What is 4e^{2t}*2e^{2t} ?

The solution to 4e^{2t}*2e^{2t} is 8e^{4t}

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simplify 4e^{2t}*2e^{2t}

simplify

4 e^{2 t} \cdot 2 e^{2 t}

8 e^{4 t}

Solution steps

4 e^{2 t} \cdot 2 e^{2 t}

Apply exponent rule:

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

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

= 4 \cdot 2 e^{2 t + 2 t}

Add similar elements:

2 t + 2 t = 4 t

= 4 \cdot 2 e^{4 t}

Multiply the numbers:

4 \cdot 2 = 8

= 8 e^{4 t}

1.593 \cdot 1 0^{- 6}

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

e^{- 0.001 \cdot 200}

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