What is e^{-2t}(-2/15 e^{2t}) ?

The solution to e^{-2t}(-2/15 e^{2t}) is -2/15

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simplify e^{-2t}(-2/15 e^{2t})

simplify

e^{- 2 t} (- \frac{2}{15} e^{2 t})

- \frac{2}{15}

Decimal Notation

- 0.13333 \dots

Solution steps

e^{- 2 t} (- \frac{2}{15} e^{2 t})

Apply exponent rule:

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

= \frac{1}{e ^{2 t}} (- \frac{2}{15} e^{2 t})

Remove parentheses:

(- a) = - a

= - \frac{1}{e ^{2 t}} \cdot \frac{2}{15} e^{2 t}

Multiply fractions:

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

= - \frac{1 \cdot 2 e ^{2 t}}{e ^{2 t} \cdot 15}

Cancel the common factor:

e^{2 t}

= - \frac{1 \cdot 2}{15}

Multiply the numbers:

1 \cdot 2 = 2

= - \frac{2}{15}

0.04 (2000) \cdot (1 + 0.0001 (2000))^{- \frac{1}{2}}

(2 π x) (x (x - 1)^{2})

1.334 \cdot 1 0^{- 9} (\frac{0.3}{0 , 5})

e^{- 0.027}

e^{3 x} \cdot e^{x}