What is m^{3/2}w^{3/2}*((mwx^2+h)e^{-Bx^2}) ?

The solution to m^{3/2}w^{3/2}*((mwx^2+h)e^{-Bx^2}) is e^{-Bx^2}(mwx^2+h)(mw)^{3/2}

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simplify m^{3/2}w^{3/2}*((mwx^2+h)e^{-Bx^2})

simplify

m^{\frac{3}{2}} w^{\frac{3}{2}} \cdot ((m w x^{2} + h) e^{- B x^{2}})

e^{- B x^{2}} (m w x^{2} + h) (m w)^{\frac{3}{2}}

Solution steps

m^{\frac{3}{2}} w^{\frac{3}{2}} ((m w x^{2} + h) e^{- B x^{2}})

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

m^{\frac{3}{2}} w^{\frac{3}{2}} = (m w)^{\frac{3}{2}}

= e^{- B x^{2}} (m w x^{2} + h) (m w)^{\frac{3}{2}}

e^{- 0.14742}

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

6 e^{2 t} \cdot 12 e^{- 2 t}

e^{- x} sin (2 x) d x

\frac{- 315}{63}

What is m^{3/2}w^{3/2}*((mwx^2+h)e^{-Bx^2}) ?
The solution to m^{3/2}w^{3/2}*((mwx^2+h)e^{-Bx^2}) is e^{-Bx^2}(mwx^2+h)(mw)^{3/2}