What is (-3)/(500)(160e^{-0.006t}) ?

The solution to (-3)/(500)(160e^{-0.006t}) is -(0.96)/(e^{0.006t)}

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simplify (-3)/(500)(160e^{-0.006t})

simplify

\frac{- 3}{500} (160 e^{- 0.006 t})

- \frac{0.96}{e ^{0.006 t}}

Solution steps

\frac{- 3}{500} (160 e^{- 0.006 t})

Apply exponent rule:

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

= 160 \cdot \frac{- 3}{500} \cdot \frac{1}{e ^{0.006 t}}

Apply the fraction rule:

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

= - 160 \cdot \frac{3}{500} \cdot \frac{1}{e ^{0.006 t}}

Multiply fractions:

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

= - \frac{3 \cdot 1 \cdot 160}{500 e ^{0.006 t}}

Multiply the numbers:

3 \cdot 1 \cdot 160 = 480

= - \frac{480}{500 e ^{0.006 t}}

Cancel the common factor:

20

= - \frac{24}{25 e ^{0.006 t}}

Convert element to a decimal form

\frac{24}{25} = 0.96

= - \frac{0.96}{e ^{0.006 t}}

40 \cdot 250 \cdot 1 0^{- 6} \cdot 25 \cdot 1 0^{- 9} \cdot 20000

(2.5 \cdot 1 0^{- 4}) (6.7 \cdot 1 0^{- 5})

22 \cdot 4 π \cdot 1 0^{- 1}

16137.431 \cdot 500 \cdot 0.12 \cdot 1 0^{- 6}

e^{- x} \cdot (- x) e^{- x}

What is (-3)/(500)(160e^{-0.006t}) ?
The solution to (-3)/(500)(160e^{-0.006t}) is -(0.96)/(e^{0.006t)}