What is \sqrt[4]{sqrt(14/13)} ?

The solution to \sqrt[4]{sqrt(14/13)} is \sqrt[8]{14/13}

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simplify \sqrt[4]{sqrt(14/13)}

simplify

Decimal Notation

1.00930 \dots

Solution steps

Apply radical rule:

= ((\frac{14}{13})^{\frac{1}{2}})^{\frac{1}{4}}

Apply exponent rule:

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

= (\frac{14}{13})^{\frac{1}{2} \cdot \frac{1}{4}}

\frac{1}{2} \cdot \frac{1}{4} = \frac{1}{8}

= (\frac{14}{13})^{\frac{1}{8}}

(3 \cdot 1 0^{6}) \cdot (2.7 \cdot 1 0^{4})

1.74 \cdot 1 0^{- 61}

60 \cdot 2.7 \cdot 1 0^{- 3}

51 a^{3} x^{5} y^{3} (x - 3)^{4} (2 x + 3 y)^{6}

4 \cdot 2.564 \cdot 1 0^{- 1}

What is \sqrt[4]{sqrt(14/13)} ?
The solution to \sqrt[4]{sqrt(14/13)} is \sqrt[8]{14/13}