What is simplify-(3x^2)/4*e^{-3x} ?

The solution to simplify-(3x^2)/4*e^{-3x} is -(3x^2)/(4e^{3x)}

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simplify-(3x^2)/4*e^{-3x}

simplify

- \frac{3 x ^{2}}{4} \cdot e^{- 3 x}

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

3 \cdot 1 = 3

= - \frac{3 x ^{2}}{4 e ^{3 x}}

e^{- 2} \cdot 2

\frac{4 ^{n}}{5 ^{n}}

\frac{- 32}{- 2}

(6 x^{3}) (7 x^{2})

What is simplify-(3x^2)/4*e^{-3x} ?
The solution to simplify-(3x^2)/4*e^{-3x} is -(3x^2)/(4e^{3x)}