simplify 1/x*e^{-x}

Solution

simplify

\frac{1}{x} \cdot e^{- x}

\frac{1}{e ^{x} x}

Solution steps

\frac{1}{x} e^{- x}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 1 = 1

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

1.28 \times 1 0^{- 3}

(x^{5} y^{3} z) (x^{2} y^{2} z^{6})

(15 x^{4} y^{3}) (16 a^{4} x^{3})

(6 - 6) (3 + 4)

(16 x^{4} - 24 x^{2} + 9) \cdot (16 x^{4} - 24 x^{2} + 9)