What is \sqrt[3]{\sqrt[4]{7}} ?

The solution to \sqrt[3]{\sqrt[4]{7}} is \sqrt[12]{7}

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simplify \sqrt[3]{\sqrt[4]{7}}

simplify

Decimal Notation

1.17604 \dots

Solution steps

Apply radical rule:

= (7^{\frac{1}{4}})^{\frac{1}{3}}

Apply exponent rule:

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

= 7^{\frac{1}{4} \cdot \frac{1}{3}}

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

= 7^{\frac{1}{12}}

- 3.3 (1 0^{- 5}) (12)

e^{- 0.692}

- (3 x^{2}) (x y^{5})

(e^{5 x})^{- 1}

60 \cdot e^{- 3}

What is \sqrt[3]{\sqrt[4]{7}} ?
The solution to \sqrt[3]{\sqrt[4]{7}} is \sqrt[12]{7}