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Popular >

simplify 2e^{-0.1(5)}

Solution

simplify

2 e^{- 0.1 (5)}

Solution

1.21306 \dots

Solution steps

2 e^{- 0.1 (5)}

Apply exponent rule:

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

= 2 \cdot \frac{1}{e ^{5 \cdot 0.1}}

Multiply the numbers:

0.1 \cdot 5 = 0.5

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2}{e}

e = 1.64872 \dots

= \frac{2}{1.64872 \dots}

Divide the numbers:

\frac{2}{1.64872 \dots} = 1.21306 \dots

= 1.21306 \dots

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Frequently Asked Questions (FAQ)

What is 2e^{-0.1(5)} ?
The solution to 2e^{-0.1(5)} is 1.21306…