What is 7e^{-0.093(31)} ?

The solution to 7e^{-0.093(31)} is 0.39176…

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simplify 7e^{-0.093(31)}

simplify

7 e^{- 0.093 (31)}

0.39176 \dots

Solution steps

7 e^{- 0.093 (31)}

Apply exponent rule:

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

= 7 \cdot \frac{1}{e ^{31 \cdot 0.093}}

Multiply the numbers:

0.093 \cdot 31 = 2.883

= 7 \cdot \frac{1}{e ^{2.883}}

Multiply fractions:

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

= \frac{1 \cdot 7}{e ^{2.883}}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{7}{e ^{2.883}}

e^{2.883} = 17.86779 \dots

= \frac{7}{17.86779 \dots}

Divide the numbers:

\frac{7}{17.86779 \dots} = 0.39176 \dots

= 0.39176 \dots

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