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

The solution to e^{-((3-1)/(-5-(-3)))t} is e^t

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

simplify

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

e^{t}

Solution steps

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

Apply exponent rule:

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

= \frac{1}{e ^{\frac{3 - 1}{- 5 - ( - 3 )} t}}

Apply rule

- (- a) = a

= \frac{1}{e ^{\frac{3 - 1}{- 5 + 3} t}}

e^{\frac{3 - 1}{- 5 + 3} t} = e^{- t}

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

Apply exponent rule:

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

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

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

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

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

Apply the fraction rule:

\frac{a}{1} = a

= e^{t}

25 e^{- \frac{0}{25}}

e^{- 9375}

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

b^{8} (2 b^{6})

x + 1 x - 2

What is e^{-((3-1)/(-5-(-3)))t} ?
The solution to e^{-((3-1)/(-5-(-3)))t} is e^t