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

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

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

simplify

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

\frac{5 !}{( 5 - 4 ) ! 4 !}

8 x y^{3} + 56 x^{2} y

3 a^{2} - 13 a + 4

3 n^{2} + 13 n + 4

\frac{3 + r}{7} \leq 5

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