What is \sqrt[9]{3^{5sqrt(3)}} ?

The solution to \sqrt[9]{3^{5sqrt(3)}} is 3^{5/(3sqrt(3))}

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simplify \sqrt[9]{3^{5sqrt(3)}}

simplify

3^{\frac{5}{3 3}}

Solution steps

Apply radical rule:

= (3^{53})^{\frac{1}{9}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 3^{53 \frac{1}{9}}

53 \frac{1}{9} = \frac{5}{3 3}

= 3^{\frac{5}{3 3}}

e^{- 2 a r c t a n (x)}

2.25 \cdot 1 0^{- 10}

A e^{- b x}

(a^{3} b) (a b^{6})

e^{- 0.36 \cdot 1.5}

What is \sqrt[9]{3^{5sqrt(3)}} ?
The solution to \sqrt[9]{3^{5sqrt(3)}} is 3^{5/(3sqrt(3))}