What is 31e^{-0.1*0.5} ?

The solution to 31e^{-0.1*0.5} is 29.48811…

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simplify 31e^{-0.1*0.5}

simplify

31 e^{- 0.1 \cdot 0.5}

29.48811 \dots

Solution steps

31 e^{- 0.1 \cdot 0.5}

Apply exponent rule:

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

= 31 \cdot \frac{1}{e ^{0.1 \cdot 0.5}}

Multiply the numbers:

0.1 \cdot 0.5 = 0.05

= 31 \cdot \frac{1}{e ^{0.05}}

Multiply fractions:

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

= \frac{1 \cdot 31}{e ^{0.05}}

Multiply the numbers:

1 \cdot 31 = 31

= \frac{31}{e ^{0.05}}

e^{0.05} = 1.05127 \dots

= \frac{31}{1.05127 \dots}

Divide the numbers:

\frac{31}{1.05127 \dots} = 29.48811 \dots

= 29.48811 \dots

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