What is e^{-(s-3)(-3)} ?

The solution to e^{-(s-3)(-3)} is e^{3(s-3)}

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simplify e^{-(s-3)(-3)}

simplify

e^{- (s - 3) (- 3)}

e^{3 (s - 3)}

Solution steps

e^{- (s - 3) (- 3)}

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

= \frac{1}{e ^{- (s - 3) \cdot 3}}

Apply exponent rule:

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

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

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

Apply the fraction rule:

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

= \frac{e ^{(s - 3) \cdot 3}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= e^{(s - 3) \cdot 3}

e^{- 2 l n ∣ s - 1 ∣}

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4.2 x 1 0^{- 3}