What is \sqrt[3]{\sqrt[4]{w}} ?

The solution to \sqrt[3]{\sqrt[4]{w}} is \sqrt[12]{w}

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simplify \sqrt[3]{\sqrt[4]{w}}

simplify

Solution steps

Apply radical rule:

= (w^{\frac{1}{4}})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

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

\frac{1}{4} \cdot \frac{1}{3} = \frac{1}{12}

= w^{\frac{1}{12}}

8.7765 \cdot 1 0^{- 6}

(a + b) (a - b)^{3} b^{3}

e^{- t a n^{2} (x)} \cdot sin (x)

6.257 \cdot 1 0^{- 7}

\frac{3}{( 2 )}

What is \sqrt[3]{\sqrt[4]{w}} ?
The solution to \sqrt[3]{\sqrt[4]{w}} is \sqrt[12]{w}