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Popular >

simplify 200e^{-0.9}

Solution

simplify

200 e^{- 0.9}

Solution

81.31393 \dots

Solution steps

200 e^{- 0.9}

Apply exponent rule:

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

= 200 \cdot \frac{1}{e ^{0.9}}

Multiply fractions:

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

= \frac{1 \cdot 200}{e ^{0.9}}

Multiply the numbers:

1 \cdot 200 = 200

= \frac{200}{e ^{0.9}}

e^{0.9} = 2.45960 \dots

= \frac{200}{2.45960 \dots}

Divide the numbers:

\frac{200}{2.45960 \dots} = 81.31393 \dots

= 81.31393 \dots

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Frequently Asked Questions (FAQ)

What is 200e^{-0.9} ?
The solution to 200e^{-0.9} is 81.31393…