What is e^{-(-1+(-0.5))} ?

The solution to e^{-(-1+(-0.5))} is 4.48168…

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simplify e^{-(-1+(-0.5))}

simplify

e^{- (- 1 + (- 0.5))}

4.48168 \dots

Solution steps

e^{- (- 1 + (- 0.5))}

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

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

Subtract the numbers:

- 1 - 0.5 = - 1.5

= \frac{1}{e ^{- 1.5}}

Apply exponent rule:

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

e^{- 1.5} = \frac{1}{e ^{1.5}}

= \frac{1}{\frac{1}{e ^{1.5}}}

Apply the fraction rule:

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

= \frac{e ^{1.5}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= e^{1.5}

e^{1.5} = 4.48168 \dots

= 4.48168 \dots

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