What is sqrt(\sqrt[3]{\sqrt[4]{128*2)}} ?

The solution to sqrt(\sqrt[3]{\sqrt[4]{128*2)}} is cube root of 2

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simplify sqrt(\sqrt[3]{\sqrt[4]{128*2)}}

simplify

Decimal Notation

1.25992 \dots

Solution steps

Apply radical rule:

= ((128 \cdot 2)^{\frac{1}{12}})^{\frac{1}{2}}

Apply exponent rule:

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

= (128 \cdot 2)^{\frac{1}{12} \cdot \frac{1}{2}}

\frac{1}{12} \cdot \frac{1}{2} = \frac{1}{24}

= (128 \cdot 2)^{\frac{1}{24}}

Multiply the numbers:

128 \cdot 2 = 256

4.07 \cdot 1 0^{- 9} (\frac{0.36}{5 \cdot 1 0 ^{- 6}})

2 (1 - 2 x)^{- 1}

\frac{1}{2} e^{- \frac{0}{2}}

(\frac{1.96}{0.13})^{2} \cdot 0.5 \cdot 0.5

What is sqrt(\sqrt[3]{\sqrt[4]{128*2)}} ?
The solution to sqrt(\sqrt[3]{\sqrt[4]{128*2)}} is cube root of 2