What is expand 0.45(1-e^{-(0.1)n}) ?

The solution to expand 0.45(1-e^{-(0.1)n}) is 0.45-0.45e^{-0.1n}

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expand 0.45(1-e^{-(0.1)n})

expand

0.45 (1 - e^{- (0.1) n})

0.45 - 0.45 e^{- 0.1 n}

Solution steps

0.45 (1 - e^{- (0.1) n})

Apply the distributive law:

a (b - c) = ab - a c

a = 0.45, b = 1, c = e^{- (0.1) n}

= 0.45 \cdot 1 - 0.45 e^{- (0.1) n}

= 1 \cdot 0.45 - 0.45 e^{- (0.1) n}

Simplify

1 \cdot 0.45 - 0.45 e^{- (0.1) n} : 0.45 - 0.45 e^{- 0.1 n}

= 0.45 - 0.45 e^{- 0.1 n}

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What is expand 0.45(1-e^{-(0.1)n}) ?
The solution to expand 0.45(1-e^{-(0.1)n}) is 0.45-0.45e^{-0.1n}