simplify xe^{-1/2}

Solution

simplify

x e^{- \frac{1}{2}}

\frac{x}{e ^{\frac{1}{2}}}

Solution steps

x e^{- \frac{1}{2}}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{1}{2}}} x

Multiply fractions:

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

= \frac{1 \cdot x}{e ^{\frac{1}{2}}}

Multiply:

1 \cdot x = x

= \frac{x}{e ^{\frac{1}{2}}}

(e^{x^{2}}) \cdot (e^{x^{- 1}})

(\frac{0. 2 ^{5}}{5}) \cdot 4 π \cdot 9 \cdot π \cdot 1 0^{- 9} \cdot \frac{1}{8}

[(- 2) 0.5]^{- 2} \cdot (\frac{4}{5})^{3} \cdot (- \frac{5}{3})^{- 2}

\frac{t ^{4} + 4 t ^{2} + 1}{1 + t ^{6} + t ^{12}}