What is sqrt(\sqrt{27)}*\sqrt[4]{3} ?

The solution to sqrt(\sqrt{27)}*\sqrt[4]{3} is 3

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simplify sqrt(\sqrt{27)}*\sqrt[4]{3}

simplify

3

Solution steps

27 = 3^{\frac{3}{4}}

Apply radical rule:

= 3^{\frac{3}{4}} \cdot 3^{\frac{1}{4}}

Apply exponent rule:

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

3^{\frac{3}{4}} \cdot 3^{\frac{1}{4}} = 3^{\frac{3}{4} + \frac{1}{4}}

= 3^{\frac{3}{4} + \frac{1}{4}}

\frac{3}{4} + \frac{1}{4} = 1

= 3^{1}

Apply exponent rule:

a^{1} = a

= 3

\frac{d}{d x} (e^{x y^{2}})

- 6 x (2 e^{- 3 x^{2}})

(4 x) \cdot (3 x^{2})

8.1 \cdot 1 0^{- 6}

3^{x + 2}

What is sqrt(\sqrt{27)}*\sqrt[4]{3} ?
The solution to sqrt(\sqrt{27)}*\sqrt[4]{3} is 3