What is 0.5e^{-2t}(20*10^{-3}) ?

The solution to 0.5e^{-2t}(20*10^{-3}) is (0.01)/(e^{2t)}

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simplify 0.5e^{-2t}(20*10^{-3})

simplify

0.5 e^{- 2 t} (20 \cdot 1 0^{- 3})

\frac{0.01}{e ^{2 t}}

Solution steps

0.5 e^{- 2 t} (20 \cdot 1 0^{- 3})

Apply exponent rule:

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

= 1 0^{- 3} \cdot 20 \cdot 0.5 \cdot \frac{1}{e ^{2 t}}

Apply exponent rule:

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

= 20 \cdot 0.5 \cdot \frac{1}{1 0 ^{3}} \cdot \frac{1}{e ^{2 t}}

Multiply fractions:

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

= 0.5 \cdot \frac{1 \cdot 1 \cdot 20}{1 0 ^{3} e ^{2 t}}

Simplify

\frac{1 \cdot 1 \cdot 20}{e ^{2 t} \cdot 1 0 ^{3}} : \frac{1}{50 e ^{2 t}}

= 0.5 \cdot \frac{1}{50 e ^{2 t}}

Multiply fractions:

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

= \frac{1 \cdot 0.5}{50 e ^{2 t}}

Multiply the numbers:

1 \cdot 0.5 = 0.5

= \frac{0.5}{50 e ^{2 t}}

Divide the numbers:

\frac{0.5}{50} = 0.01

= \frac{0.01}{e ^{2 t}}

e^{- \frac{1.5 x}{5 x + 3}}

(- 8)^{2^{^{'}}}

(9 \cdot 1 0^{- 32}) (15.8) (0.722)

e^{- 0.00271 \cdot 3200}

\frac{3 ^{100}}{7 ^{100}}

What is 0.5e^{-2t}(20*10^{-3}) ?
The solution to 0.5e^{-2t}(20*10^{-3}) is (0.01)/(e^{2t)}