What is (\sqrt[8]{\sqrt[6]{sqrt(16)}})^3 ?

The solution to (\sqrt[8]{\sqrt[6]{sqrt(16)}})^3 is \sqrt[8]{2}

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simplify (\sqrt[8]{\sqrt[6]{sqrt(16)}})^3

simplify

Decimal Notation

1.09050 \dots

Solution steps

Apply radical rule:

Apply exponent rule:

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

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

Apply radical rule:

= (1 6^{\frac{1}{12}})^{\frac{3}{8}}

Apply exponent rule:

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

= 1 6^{\frac{1}{12} \cdot \frac{3}{8}}

\frac{1}{12} \cdot \frac{3}{8} = \frac{1}{32}

= 1 6^{\frac{1}{32}}

- lo g_{10} (1.8) 1 0^{- 4}

\frac{2 ^{3}}{3 !} \cdot e^{- 2}

3 x (3 x)

3.14 \cdot 1 0^{- 2}

What is (\sqrt[8]{\sqrt[6]{sqrt(16)}})^3 ?
The solution to (\sqrt[8]{\sqrt[6]{sqrt(16)}})^3 is \sqrt[8]{2}