simplify x^3e^{-4x}

Solution

simplify

x^{3} e^{- 4 x}

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

Solution steps

x^{3} e^{- 4 x}

Apply exponent rule:

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

= \frac{1}{e ^{4 x}} x^{3}

Multiply fractions:

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

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

Multiply:

1 \cdot x^{3} = x^{3}

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

x e^{- x}

(2 x^{3} y^{4}) (4 y^{3})

0.51 \cdot (\frac{15}{44})^{- 1}

3.6 x 1 0^{- 4}

(7 b^{5}) (3 ab)