What is 5e^{-0.1x}(100-x) ?

The solution to 5e^{-0.1x}(100-x) is (5(-x+100))/(e^{0.1x)}

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simplify 5e^{-0.1x}(100-x)

simplify

5 e^{- 0.1 x} (100 - x)

\frac{5 ( - x + 100 )}{e ^{0.1 x}}

Solution steps

5 e^{- 0.1 x} (100 - x)

Apply exponent rule:

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

= 5 \cdot \frac{1}{e ^{0.1 x}} (- x + 100)

Multiply fractions:

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

= \frac{1 \cdot 5 ( 100 - x )}{e ^{0.1 x}}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{5 ( - x + 100 )}{e ^{0.1 x}}

(e^{- 3 x}) (3 e^{3 x})

1 - (\frac{5}{13})^{2}

e^{t}

e^{- k}

13 e^{- 4}

What is 5e^{-0.1x}(100-x) ?
The solution to 5e^{-0.1x}(100-x) is (5(-x+100))/(e^{0.1x)}