What is \sqrt[4]{(\sqrt[3]{2})/(sqrt(1/8))} ?

The solution to \sqrt[4]{(\sqrt[3]{2})/(sqrt(1/8))} is \sqrt[24]{2^{11}}

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simplify \sqrt[4]{(\sqrt[3]{2})/(sqrt(1/8))}

simplify

Decimal Notation

1.37395 \dots

Solution steps

Apply radical rule:

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

Cancel

Apply radical rule:

= 2^{\frac{1}{12}} \cdot 2^{\frac{3}{8}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

2^{\frac{1}{12}} \cdot 2^{\frac{3}{8}} = 2^{\frac{1}{12} + \frac{3}{8}}

= 2^{\frac{1}{12} + \frac{3}{8}}

\frac{1}{12} + \frac{3}{8} = \frac{11}{24}

= 2^{\frac{11}{24}}

4 z - (- 3 z)

(x - y) (x^{2} y + x y^{2} - x y)

\frac{3}{5} 125 m n^{6}

- (- 6)

(\frac{4}{3})^{- 5}

What is \sqrt[4]{(\sqrt[3]{2})/(sqrt(1/8))} ?
The solution to \sqrt[4]{(\sqrt[3]{2})/(sqrt(1/8))} is \sqrt[24]{2^{11}}