What is expand 200(8-e^{-0.1x}) ?

The solution to expand 200(8-e^{-0.1x}) is 1600-200e^{-0.1x}

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expand 200(8-e^{-0.1x})

expand

200 (8 - e^{- 0.1 x})

1600 - 200 e^{- 0.1 x}

Solution steps

200 (8 - e^{- 0.1 x})

Apply the distributive law:

a (b - c) = ab - a c

a = 200, b = 8, c = e^{- 0.1 x}

= 200 \cdot 8 - 200 e^{- 0.1 x}

Multiply the numbers:

200 \cdot 8 = 1600

= 1600 - 200 e^{- 0.1 x}

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What is expand 200(8-e^{-0.1x}) ?
The solution to expand 200(8-e^{-0.1x}) is 1600-200e^{-0.1x}