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Popular >

simplify 5000e^{-0.1}5

Solution

simplify

5000 \cdot e^{- 0.1} \cdot 5

Solution

22620.93545 \dots

Solution steps

5000 e^{- 0.1} \cdot 5

Apply exponent rule:

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

= 5000 \cdot 5 \cdot \frac{1}{e ^{0.1}}

Multiply fractions:

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

= \frac{1 \cdot 5000 \cdot 5}{e ^{0.1}}

Multiply the numbers:

1 \cdot 5000 \cdot 5 = 25000

= \frac{25000}{e ^{0.1}}

e^{0.1} = 1.10517 \dots

= \frac{25000}{1.10517 \dots}

Divide the numbers:

\frac{25000}{1.10517 \dots} = 22620.93545 \dots

= 22620.93545 \dots

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Frequently Asked Questions (FAQ)

What is 5000*e^{-0.1}*5 ?
The solution to 5000*e^{-0.1}*5 is 22620.93545…