What is e^{-8.57}*(8.57)/1 ?

The solution to e^{-8.57}*(8.57)/1 is 0.00162…

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simplify e^{-8.57}*(8.57)/1

simplify

e^{- 8.57} \cdot \frac{8.57}{1}

0.00162 \dots

Solution steps

e^{- 8.57} \frac{8.57}{1}

Apply exponent rule:

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

= \frac{8.57}{1} \cdot \frac{1}{e ^{8.57}}

Multiply fractions:

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

= \frac{1 \cdot 8.57}{e ^{8.57} \cdot 1}

Cancel the common factor:

1

= \frac{8.57}{e ^{8.57}}

e^{8.57} = 5271.12979 \dots

= \frac{8.57}{5271.12979 \dots}

Divide the numbers:

\frac{8.57}{5271.12979 \dots} = 0.00162 \dots

= 0.00162 \dots

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