What is (0.5*10^{-6})(-4e^{-(t-1)}) ?

The solution to (0.5*10^{-6})(-4e^{-(t-1)}) is -0.000002e^{-t+1}

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simplify (0.5*10^{-6})(-4e^{-(t-1)})

simplify

(0.5 \cdot 1 0^{- 6}) (- 4 e^{- (t - 1)})

- 0.000002 e^{- t + 1}

Solution steps

(0.5 \cdot 1 0^{- 6}) (- 4 e^{- (t - 1)})

Apply exponent rule:

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

= 0.5 \cdot \frac{1}{1 0 ^{6}} (- 4 e^{- (t - 1)})

Remove parentheses:

(- a) = - a

= - 0.5 \cdot \frac{1}{1 0 ^{6}} \cdot 4 e^{- (t - 1)}

Multiply fractions:

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

= - 0.5 \cdot \frac{1 \cdot 4}{1 0 ^{6}} e^{- (t - 1)}

\frac{1 \cdot 4}{1 0 ^{6}} = \frac{1}{250000}

= - 0.5 \cdot \frac{1}{250000} e^{- (t - 1)}

Expand

- (t - 1) : - t + 1

= - 0.5 \cdot \frac{1}{250000} e^{- t + 1}

Multiply fractions:

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

= - \frac{1 \cdot 0.5}{250000} e^{- t + 1}

\frac{1 \cdot 0.5}{250000} = 0.000002

= - 0.000002 e^{- t + 1}

e^{- 2 x} x

1.6 \cdot 1 0^{- 1}

(x - 1) (2 x + 1) (x - 7)

100 π \cdot 8.8635 \cdot 1 0^{- 5}

1000000 (1 + 0.13749)^{- 40}

What is (0.5*10^{-6})(-4e^{-(t-1)}) ?
The solution to (0.5*10^{-6})(-4e^{-(t-1)}) is -0.000002e^{-t+1}