simplify e^{-t/2}dt

Solution

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot d t = d t

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

- 60 \cdot 1 0^{- 63} \cdot ln (\frac{9}{11})

3 e^{x} \cdot e^{- 2 x}

0.146 \cdot 1 0^{- 4}