What is 20*12/5 e^{-20t} ?

The solution to 20*12/5 e^{-20t} is (48)/(e^{20t)}

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simplify 20*12/5 e^{-20t}

simplify

20 \cdot \frac{12}{5} e^{- 20 t}

\frac{48}{e ^{20 t}}

Solution steps

20 \cdot \frac{12}{5} e^{- 20 t}

Apply exponent rule:

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

= 20 \cdot \frac{12}{5} \cdot \frac{1}{e ^{20 t}}

Multiply fractions:

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

= \frac{12 \cdot 1 \cdot 20}{5 e ^{20 t}}

Multiply the numbers:

12 \cdot 1 \cdot 20 = 240

= \frac{240}{5 e ^{20 t}}

Divide the numbers:

\frac{240}{5} = 48

= \frac{48}{e ^{20 t}}

(x + 1)^{- 1} (2 (x + 4)^{- 1})

(6.82 \cdot 1 0^{- 3}) 150

8.07 \cdot 1 0^{- 8}

e^{- 2.42 \cdot 1 0^{20}}

150 (0.02563 \cdot 1 0^{- 3})