What is 2*10^{-5}(1-e^{-t/3}) ?

The solution to 2*10^{-5}(1-e^{-t/3}) is 1/50000 (-e^{-t/3}+1)

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simplify 2*10^{-5}(1-e^{-t/3})

simplify

2 \cdot 1 0^{- 5} (1 - e^{- \frac{t}{3}})

\frac{1}{50000} (- e^{- \frac{t}{3}} + 1)

Solution steps

2 \cdot 1 0^{- 5} (1 - e^{- \frac{t}{3}})

Apply exponent rule:

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

= 2 \cdot \frac{1}{1 0 ^{5}} (- e^{- \frac{t}{3}} + 1)

Multiply fractions:

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

= \frac{1 \cdot 2}{1 0 ^{5}} (- e^{- \frac{t}{3}} + 1)

\frac{1 \cdot 2}{1 0 ^{5}} = \frac{1}{50000}

= \frac{1}{50000} (- e^{- \frac{t}{3}} + 1)

\frac{( e ^{6 x} )}{( e ^{2 x} )}

400 e^{- 0.0244 (57)}

3 e^{- t} cos (2 t)

What is 2*10^{-5}(1-e^{-t/3}) ?
The solution to 2*10^{-5}(1-e^{-t/3}) is 1/50000 (-e^{-t/3}+1)