What is 0.5e^{-0.05*(1.5)/(12)} ?

The solution to 0.5e^{-0.05*(1.5)/(12)} is 0.49688…

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simplify 0.5e^{-0.05*(1.5)/(12)}

simplify

0.5 e^{- 0.05 \cdot \frac{1.5}{12}}

0.49688 \dots

Solution steps

0.5 e^{- 0.05 \cdot \frac{1.5}{12}}

Apply exponent rule:

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

= 0.5 \cdot \frac{1}{e ^{0.05 \cdot \frac{1.5}{12}}}

\frac{1}{e ^{0.05 \cdot \frac{1.5}{12}}} = \frac{1}{e ^{0.00625}}

= 0.5 \cdot \frac{1}{e ^{0.00625}}

Multiply fractions:

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

= \frac{1 \cdot 0.5}{e ^{0.00625}}

Multiply the numbers:

1 \cdot 0.5 = 0.5

= \frac{0.5}{e ^{0.00625}}

e^{0.00625} = 1.00626 \dots

= \frac{0.5}{1.00626 \dots}

Divide the numbers:

\frac{0.5}{1.00626 \dots} = 0.49688 \dots

= 0.49688 \dots

(x - 4)^{2} (x - 2)^{2}

\frac{d}{d t} ((x) (y (x, t)^{- 3}))

f (x) = - \frac{x}{2}

e^{- (p^{2})^{\frac{3}{2}}}

- \frac{1}{2} e^{- 1}

What is 0.5e^{-0.05*(1.5)/(12)} ?
The solution to 0.5e^{-0.05*(1.5)/(12)} is 0.49688…