What is e^{-(-0.5+(-0.5))} ?

The solution to e^{-(-0.5+(-0.5))} is e

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simplify e^{-(-0.5+(-0.5))}

simplify

e^{- (- 0.5 + (- 0.5))}

e

Solution steps

e^{- (- 0.5 + (- 0.5))}

Apply exponent rule:

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

= \frac{1}{e ^{(- 0.5 - 0.5)}}

Remove parentheses:

(- a) = - a

= \frac{1}{e ^{- 0.5 - 0.5}}

Subtract the numbers:

- 0.5 - 0.5 = - 1

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

Apply exponent rule:

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

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

= \frac{1}{\frac{1}{e}}

Apply the fraction rule:

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

= \frac{e}{1}

Apply the fraction rule:

\frac{a}{1} = a

= e

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