What is 4/3 e^{-2/3 t} ?

The solution to 4/3 e^{-2/3 t} is 4/(3e^{\frac{2t){3}}}

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simplify 4/3 e^{-2/3 t}

simplify

\frac{4}{3} e^{- \frac{2}{3} t}

\frac{4}{3 e ^{\frac{2 t}{3}}}

Solution steps

\frac{4}{3} e^{- \frac{2}{3} t}

Apply exponent rule:

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

= \frac{4}{3} \cdot \frac{1}{e ^{\frac{2}{3} t}}

\frac{1}{e ^{\frac{2}{3} t}} = \frac{1}{e ^{\frac{2 t}{3}}}

= \frac{4}{3} \cdot \frac{1}{e ^{\frac{2 t}{3}}}

Multiply fractions:

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

= \frac{4 \cdot 1}{3 e ^{\frac{2 t}{3}}}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{4}{3 e ^{\frac{2 t}{3}}}

e^{- 3 x^{^{'}}}

(380 - 520) \cdot 625 \cdot 8.854 \cdot 1 0^{- 12}

142 e^{- 0.12602 (15)}

100 \cdot 6.67418 \cdot 1 0^{- 11}

What is 4/3 e^{-2/3 t} ?
The solution to 4/3 e^{-2/3 t} is 4/(3e^{\frac{2t){3}}}