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Popular >

simplify 2000(e^{-0.2})

Solution

simplify

2000 (e^{- 0.2})

Solution

1637.46150 \dots

Solution steps

2000 (e^{- 0.2})

Apply exponent rule:

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

= 2000 \cdot \frac{1}{e ^{0.2}}

Multiply fractions:

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

= \frac{1 \cdot 2000}{e ^{0.2}}

Multiply the numbers:

1 \cdot 2000 = 2000

= \frac{2000}{e ^{0.2}}

e^{0.2} = 1.22140 \dots

= \frac{2000}{1.22140 \dots}

Divide the numbers:

\frac{2000}{1.22140 \dots} = 1637.46150 \dots

= 1637.46150 \dots

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Frequently Asked Questions (FAQ)

What is 2000(e^{-0.2}) ?
The solution to 2000(e^{-0.2}) is 1637.46150…