What is 0.5e^{2t}*e^{-2t} ?

The solution to 0.5e^{2t}*e^{-2t} is 0.5

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simplify 0.5e^{2t}*e^{-2t}

simplify

0.5 e^{2 t} \cdot e^{- 2 t}

0.5

Solution steps

0.5 e^{2 t} 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}

= 0.5 e^{2 t - 2 t}

Add similar elements:

2 t - 2 t = 0

= 0.5 e^{0}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= 1 \cdot 0.5

Multiply the numbers:

0.5 \cdot 1 = 0.5

= 0.5

(14 \cdot 1 0^{- 3}) \cdot 9.8

(3 m g^{2}) \cdot (0.012 g)

2.3 x 1 0^{- 1}

(1.6 \cdot 1 0^{- 19}) \cdot 1500

(4.071 x 1 2^{8}) (2.528 x 1 0^{- 3})