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Popular >

simplify 2/3 e^{-2t}

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

2 \cdot 1 = 2

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

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Frequently Asked Questions (FAQ)

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