What is 5.77*e^{-0.231*8} ?

The solution to 5.77*e^{-0.231*8} is 0.90907…

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simplify 5.77e^{-0.2318}

simplify

5.77 \cdot e^{- 0.231 \cdot 8}

0.90907 \dots

Solution steps

5.77 e^{- 0.231 \cdot 8}

Apply exponent rule:

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

= 5.77 \cdot \frac{1}{e ^{8 \cdot 0.231}}

Multiply the numbers:

0.231 \cdot 8 = 1.848

= 5.77 \cdot \frac{1}{e ^{1.848}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 5.77}{e ^{1.848}}

Multiply the numbers:

1 \cdot 5.77 = 5.77

= \frac{5.77}{e ^{1.848}}

e^{1.848} = 6.34711 \dots

= \frac{5.77}{6.34711 \dots}

Divide the numbers:

\frac{5.77}{6.34711 \dots} = 0.90907 \dots

= 0.90907 \dots

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