simplify t*e^{-t/2}

Solution

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot t = t

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

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