What is e^{-0.095}\times 5 ?

The solution to e^{-0.095}\times 5 is 4.54686…

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simplify e^{-0.095}\times 5

simplify

e^{- 0.095} \cdot 5

4.54686 \dots

Solution steps

e^{- 0.095} \cdot 5

Apply exponent rule:

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

= 5 \cdot \frac{1}{e ^{0.095}}

Multiply fractions:

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

= \frac{1 \cdot 5}{e ^{0.095}}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{5}{e ^{0.095}}

e^{0.095} = 1.09965 \dots

= \frac{5}{1.09965 \dots}

Divide the numbers:

\frac{5}{1.09965 \dots} = 4.54686 \dots

= 4.54686 \dots

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