What is 100e^{-500t}(20-20e^{-500t}) ?

The solution to 100e^{-500t}(20-20e^{-500t}) is 100*1/(e^{500t)}(-20e^{-500t}+20)

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simplify 100e^{-500t}(20-20e^{-500t})

simplify

100 e^{- 500 t} (20 - 20 e^{- 500 t})

100 \cdot \frac{1}{e ^{500 t}} (- 20 e^{- 500 t} + 20)

Solution steps

100 e^{- 500 t} (20 - 20 e^{- 500 t})

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{500 t}} (- 20 e^{- 500 t} + 20)

(x^{- \frac{1}{2}}) d x

19 e^{- 0.5 t}

(2 \cdot 1 0^{- 9}) (72) (0.4)

4.4 \cdot 1 0^{- 7}

4 y^{2} (8 y^{4})

What is 100e^{-500t}(20-20e^{-500t}) ?
The solution to 100e^{-500t}(20-20e^{-500t}) is 100*1/(e^{500t)}(-20e^{-500t}+20)