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Popular >

simplify 1/2 e^{-2.5}

Solution

simplify

\frac{1}{2} e^{- 2.5}

Solution

0.04104 \dots

Solution steps

\frac{1}{2} e^{- 2.5}

Apply exponent rule:

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

= \frac{1}{2} \cdot \frac{1}{e ^{2.5}}

Multiply fractions:

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

= \frac{1 \cdot 1}{2 e ^{2.5}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{2 e ^{2.5}}

e^{2.5} = 12.18249 \dots

= \frac{1}{2 \cdot 12.18249 \dots}

Multiply the numbers:

2 \cdot 12.18249 \dots = 24.36498 \dots

= \frac{1}{24.36498 \dots}

Divide the numbers:

\frac{1}{24.36498 \dots} = 0.04104 \dots

= 0.04104 \dots

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Frequently Asked Questions (FAQ)

What is 1/2 e^{-2.5} ?
The solution to 1/2 e^{-2.5} is 0.04104…