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

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

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

simplify

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

(3 - 5) (3 - 5)

[\frac{( 4 ^{2} ) ^{- 1}}{1 6 ^{- 2}}]^{- 3}

1.8 \cdot 1 0^{- 5}

x^{2040} e^{- x^{20}}

2.5 \cdot 1 0^{- 2}

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