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

The solution to sqrt(2)t^2e^{-sqrt(2t)} is (sqrt(2)t^2)/(e^{sqrt(2)\sqrt{t)}}

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simplify sqrt(2)t^2e^{-sqrt(2t)}

simplify

2 t^{2} e^{- 2 t}

\frac{2 t ^{2}}{e ^{2 t}}

Solution steps

2 t^{2} e^{- 2 t}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 2 \frac{1}{e ^{2 t}} t^{2}

\frac{1}{e ^{2 t}} = \frac{1}{e ^{2 t}}

= 2 \frac{1}{e ^{2 t}} t^{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 2 t ^{2}}{e ^{2 t}}

Multiply:

1 \cdot 2 = 2

= \frac{2 t ^{2}}{e ^{2 t}}

- e^{- 1.5}

e^{- s} ln (\frac{s}{s - 1})

4.06 \cdot 1 0^{- 5}

x - 2 x + 7

What is sqrt(2)t^2e^{-sqrt(2t)} ?
The solution to sqrt(2)t^2e^{-sqrt(2t)} is (sqrt(2)t^2)/(e^{sqrt(2)\sqrt{t)}}