What is x^3e^{x^2}e^{x^2} ?

The solution to x^3e^{x^2}e^{x^2} is e^{2x^2}x^3

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simplify x^3e^{x^2}e^{x^2}

simplify

x^{3} e^{x^{2}} e^{x^{2}}

e^{2 x^{2}} x^{3}

Solution steps

x^{3} e^{x^{2}} e^{x^{2}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{x^{2}} e^{x^{2}} = e^{x^{2} + x^{2}}

= x^{3} e^{x^{2} + x^{2}}

Add similar elements:

x^{2} + x^{2} = 2 x^{2}

= x^{3} e^{2 x^{2}}

3 (e^{2})^{2} (3 ln (e^{2}) + 1)

401 e^{- 0.032 \cdot 25}

((A + B) C)^{T}

, \frac{3}{5 y}

(1.86 x 1 0^{5}) (2.48 x 1 0^{4})