What is t^{1.4}*e^{-0.367 1/s*t} ?

The solution to t^{1.4}*e^{-0.367 1/s*t} is (t^{1.4}}{e^{\frac{0.367t)/s}}

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simplify t^{1.4}e^{-0.367 1/st}

simplify

t^{1.4} \cdot e^{- 0.367 \frac{1}{s} \cdot t}

\frac{t ^{1.4}}{e ^{\frac{0.367 t}{s}}}

Solution steps

t^{1.4} e^{- 0.367 \cdot \frac{1}{s} t}

Apply exponent rule:

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

= \frac{1}{e ^{0.367 \cdot \frac{1}{s} t}} t^{1.4}

\frac{1}{e ^{0.367 \cdot \frac{1}{s} t}} = \frac{1}{e ^{\frac{0.367 t}{s}}}

= \frac{1}{e ^{\frac{0.367 t}{s}}} t^{1.4}

Multiply fractions:

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

= \frac{1 \cdot t ^{1.4}}{e ^{\frac{0.367 t}{s}}}

Multiply:

1 \cdot t^{1.4} = t^{1.4}

= \frac{t ^{1.4}}{e ^{\frac{0.367 t}{s}}}

8.854 \cdot 1 0^{- 12} \cdot \frac{35 \cdot 1 0 ^{- 4}}{0.003}

(4 \cdot 1 0^{8}) (2.1 \cdot 1 0^{5})

e^{- 0.01} \cdot e^{- 0.01}

3.911 e^{- 2}

What is t^{1.4}*e^{-0.367 1/s*t} ?
The solution to t^{1.4}*e^{-0.367 1/s*t} is (t^{1.4}}{e^{\frac{0.367t)/s}}