simplify x^5e^{-9x}

Solution

simplify

x^{5} e^{- 9 x}

\frac{x ^{5}}{e ^{9 x}}

Solution steps

x^{5} e^{- 9 x}

Apply exponent rule:

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

= \frac{1}{e ^{9 x}} x^{5}

Multiply fractions:

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

= \frac{1 \cdot x ^{5}}{e ^{9 x}}

Multiply:

1 \cdot x^{5} = x^{5}

= \frac{x ^{5}}{e ^{9 x}}

- 5 x^{3} y (x y^{2})

\frac{3 \cdot 1 0 ^{8}}{4 \cdot 13.2 \cdot 1 0 ^{- 3}} \cdot 1 0^{- 9}

(3 x)^{5}

e^{- 4 t} \frac{π}{s - 2}