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Popular >

simplify 0.5e^{-0.1(5/12)}

Solution

simplify

0.5 e^{- 0.1 (\frac{5}{12})}

Solution

0.47959 \dots

Solution steps

0.5 e^{- 0.1 (\frac{5}{12})}

Apply exponent rule:

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

= 0.5 \cdot \frac{1}{e ^{0.1 \cdot \frac{5}{12}}}

\frac{1}{e ^{0.1 \cdot \frac{5}{12}}} = \frac{1}{e ^{0.04166 \dots}}

= 0.5 \cdot \frac{1}{e ^{0.04166 \dots}}

Multiply fractions:

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

= \frac{1 \cdot 0.5}{e ^{0.04166 \dots}}

Multiply the numbers:

1 \cdot 0.5 = 0.5

= \frac{0.5}{e ^{0.04166 \dots}}

e^{0.04166 \dots} = 1.04254 \dots

= \frac{0.5}{1.04254 \dots}

Divide the numbers:

\frac{0.5}{1.04254 \dots} = 0.47959 \dots

= 0.47959 \dots

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Frequently Asked Questions (FAQ)

What is 0.5e^{-0.1(5/12)} ?
The solution to 0.5e^{-0.1(5/12)} is 0.47959…