What is e^{-(0+(-0.5))} ?

The solution to e^{-(0+(-0.5))} is 1.64872…

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simplify e^{-(0+(-0.5))}

simplify

e^{- (0 + (- 0.5))}

1.64872 \dots

Solution steps

e^{- (0 + (- 0.5))}

Apply exponent rule:

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

= \frac{1}{e ^{(0 - 0.5)}}

Remove parentheses:

(a) = a

= \frac{1}{e ^{0 - 0.5}}

Subtract the numbers:

0 - 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

(- 32)^{- 0.8}

x + 9 \cdot x - 9

8 c^{3} (x - c)^{3}

3000 (1 + 0.0298)^{- 6}

e^{- 18 \cdot \frac{0.332}{12}}