What is sqrt(2)^{sqrt(3)}*sqrt(3)^{sqrt(2)} ?

The solution to sqrt(2)^{sqrt(3)}*sqrt(3)^{sqrt(2)} is 2^{(sqrt(3))/2}*3^{1/(sqrt(2))}

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simplify sqrt(2)^{sqrt(3)}*sqrt(3)^{sqrt(2)}

simplify

2^{3} \cdot 3^{2}

2^{\frac{3}{2}} \cdot 3^{\frac{1}{2}}

Solution steps

(2)^{3} (3)^{2}

(2)^{3} : 2^{\frac{3}{2}}

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

(3)^{2} : 3^{\frac{1}{2}}

= 2^{\frac{3}{2}} \cdot 3^{\frac{1}{2}}

(5 c d e)^{3}

1331071.13 \cdot (1 + 0.1)^{- 1}

(8.02 \cdot 1 0^{- 3}) (250)

- e^{- (l n (3) - l n (2))}

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

What is sqrt(2)^{sqrt(3)}*sqrt(3)^{sqrt(2)} ?
The solution to sqrt(2)^{sqrt(3)}*sqrt(3)^{sqrt(2)} is 2^{(sqrt(3))/2}*3^{1/(sqrt(2))}