What is \sqrt[4]{\sqrt[6]{4}} ?

The solution to \sqrt[4]{\sqrt[6]{4}} is \sqrt[12]{2}

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simplify \sqrt[4]{\sqrt[6]{4}}

simplify

Decimal Notation

1.05946 \dots

Solution steps

Apply radical rule:

= (4^{\frac{1}{6}})^{\frac{1}{4}}

Apply exponent rule:

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

= 4^{\frac{1}{6} \cdot \frac{1}{4}}

\frac{1}{6} \cdot \frac{1}{4} = \frac{1}{24}

= 4^{\frac{1}{24}}

Factor the number:

4 = 2^{2}

Apply exponent rule:

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

3 e^{- 3} (1 + (- 3))

\frac{1}{3} (e^{3 t} - 1)^{2} e^{- 5 t}

e^{- 0.15 \frac{1}{4}}

e^{(- 4 x)}

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

What is \sqrt[4]{\sqrt[6]{4}} ?
The solution to \sqrt[4]{\sqrt[6]{4}} is \sqrt[12]{2}