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

The solution to \sqrt[4]{\sqrt[4]{x}} is \sqrt[16]{x}

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

simplify

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

\frac{1}{4} \cdot \frac{1}{4} = \frac{1}{16}

= x^{\frac{1}{16}}

(\frac{( 1.95996 )}{( 0.005 )})^{2} \cdot 0.5 \cdot 0.5

(11 x^{3}) (2 x^{4})

e^{- 2 l n (a)}

(1) e^{(- 1)}

(\frac{9}{4})^{7} \cdot (\frac{9}{4})^{5}

What is \sqrt[4]{\sqrt[4]{x}} ?
The solution to \sqrt[4]{\sqrt[4]{x}} is \sqrt[16]{x}