What is e^{-1.81(-0.93)} ?

The solution to e^{-1.81(-0.93)} is 5.38329…

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simplify e^{-1.81(-0.93)}

simplify

e^{- 1.81 (- 0.93)}

5.38329 \dots

Solution steps

e^{- 1.81 (- 0.93)}

Apply exponent rule:

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

= \frac{1}{e ^{(- 0.93) \cdot 1.81}}

Remove parentheses:

(- a) = - a

= \frac{1}{e ^{- 1.81 \cdot 0.93}}

Multiply the numbers:

1.81 \cdot 0.93 = 1.6833

= \frac{1}{e ^{- 1.6833}}

Apply exponent rule:

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

e^{- 1.6833} = \frac{1}{e ^{1.6833}}

= \frac{1}{\frac{1}{e ^{1.6833}}}

Apply the fraction rule:

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

= \frac{e ^{1.6833}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= e^{1.6833}

e^{1.6833} = 5.38329 \dots

= 5.38329 \dots

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