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

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

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

simplify

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

8 e^{4 t}

Solution steps

2 e^{2 t} \cdot 4 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}

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

Add similar elements:

2 t + 2 t = 4 t

= 2 \cdot 4 e^{4 t}

Multiply the numbers:

2 \cdot 4 = 8

= 8 e^{4 t}

- 2 r e^{r^{2}} sin (θ) \cdot 2 r \cdot (- 2) sin (θ) \cdot e^{r^{2}}

4 (m^{3} n)^{5}

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