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

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

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

simplify

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

4.48168 \dots

Solution steps

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

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

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

Subtract the numbers:

- 0.5 - 1 = - 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

x (x 3)

3.07 \cdot 1 0^{- 3}

(x + 2 y)^{3} (x - 2 y)^{3}

2 a x