What is 4e^{-6/100 t} ?

The solution to 4e^{-6/100 t} is 4/(e^{\frac{3t){50}}}

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simplify 4e^{-6/100 t}

simplify

4 e^{- \frac{6}{100} t}

\frac{4}{e ^{\frac{3 t}{50}}}

Solution steps

4 e^{- \frac{6}{100} t}

Apply exponent rule:

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

= 4 \cdot \frac{1}{e ^{\frac{6}{100} t}}

\frac{1}{e ^{\frac{6}{100} t}} = \frac{1}{e ^{\frac{3 t}{50}}}

= 4 \cdot \frac{1}{e ^{\frac{3 t}{50}}}

Multiply fractions:

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

= \frac{1 \cdot 4}{e ^{\frac{3 t}{50}}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4}{e ^{\frac{3 t}{50}}}

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