What is 2e^{4t}*8e^{4t} ?

The solution to 2e^{4t}*8e^{4t} is 16e^{8t}

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simplify 2e^{4t}*8e^{4t}

simplify

2 e^{4 t} \cdot 8 e^{4 t}

16 e^{8 t}

Solution steps

2 e^{4 t} \cdot 8 e^{4 t}

Apply exponent rule:

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

e^{4 t} e^{4 t} = e^{4 t + 4 t}

= 2 \cdot 8 e^{4 t + 4 t}

Add similar elements:

4 t + 4 t = 8 t

= 2 \cdot 8 e^{8 t}

Multiply the numbers:

2 \cdot 8 = 16

= 16 e^{8 t}

10 \cdot 2^{- 0.274 \cdot 12}

1625 e^{- 1000 (0.01)} (0.01)^{2}

x^{3}^{^{'}}

e^{4 x} e^{5 x}