What is \sqrt[3]{\sqrt[3]{16}} ?

The solution to \sqrt[3]{\sqrt[3]{16}} is \sqrt[9]{2^4}

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simplify \sqrt[3]{\sqrt[3]{16}}

simplify

Solution steps

Apply radical rule:

= 2^{\frac{1}{3}} \cdot 2^{\frac{1}{9}}

Apply exponent rule:

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

2^{\frac{1}{3}} \cdot 2^{\frac{1}{9}} = 2^{\frac{1}{3} + \frac{1}{9}}

= 2^{\frac{1}{3} + \frac{1}{9}}

\frac{1}{3} + \frac{1}{9} = \frac{4}{9}

= 2^{\frac{4}{9}}

(3 x + 4) (2 x - 9)

1 - 25 y^{2}

312 \times 6

\frac{9}{4} - \frac{7}{4 x}

(3 x - 9) (2 x - 10)

What is \sqrt[3]{\sqrt[3]{16}} ?
The solution to \sqrt[3]{\sqrt[3]{16}} is \sqrt[9]{2^4}