What is \sqrt[8]{\sqrt[3]{74}} ?

The solution to \sqrt[8]{\sqrt[3]{74}} is \sqrt[24]{74}

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simplify \sqrt[8]{\sqrt[3]{74}}

simplify

Decimal Notation

1.19642 \dots

Solution steps

Apply radical rule:

= (7 4^{\frac{1}{3}})^{\frac{1}{8}}

Apply exponent rule:

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

= 7 4^{\frac{1}{3} \cdot \frac{1}{8}}

\frac{1}{3} \cdot \frac{1}{8} = \frac{1}{24}

= 7 4^{\frac{1}{24}}

- 60.656 \cdot e^{- 0.0892 (5)}

(b + c)^{2} \cdot (a + c)^{2}

e^{- 0.0012} (0.0012)^{2} (\frac{1}{2})

85.5 \cdot 1 0^{- 12} \cdot 120

4742 e^{- 6}

What is \sqrt[8]{\sqrt[3]{74}} ?
The solution to \sqrt[8]{\sqrt[3]{74}} is \sqrt[24]{74}