What is \sqrt[4]{\sqrt[3]{16}} ?

The solution to \sqrt[4]{\sqrt[3]{16}} is cube root of 2

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simplify \sqrt[4]{\sqrt[3]{16}}

simplify

Solution steps

Apply radical rule:

= 2^{\frac{1}{4}} \cdot 2^{\frac{1}{12}}

Apply exponent rule:

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

2^{\frac{1}{4}} \cdot 2^{\frac{1}{12}} = 2^{\frac{1}{4} + \frac{1}{12}}

= 2^{\frac{1}{4} + \frac{1}{12}}

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

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

Apply exponent rule:

4.6 \cdot 1 0^{- 3}

a e^{- t} (1 - t^{2})

1.6 x 1 0^{- 3}

(x - 8)^{2}

What is \sqrt[4]{\sqrt[3]{16}} ?
The solution to \sqrt[4]{\sqrt[3]{16}} is cube root of 2