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

The solution to e^{-(-1+0.5)} is 1.64872…

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

simplify

e^{- (- 1 + 0.5)}

1.64872 \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}}

Add/Subtract the numbers:

- 1 + 0.5 = - 0.5

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

Apply exponent rule:

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

e^{- 0.5} = \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

e = 1.64872 \dots

= 1.64872 \dots

8 \cdot (0.77)^{2} (1 - 0.77)^{- 2}

- e^{- 100}

(4 x^{3} y^{5}) (5 x^{5} y^{4})

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

e^{- \frac{86400}{500}}