What is \sqrt[10]{\sqrt[4]{2}} ?

The solution to \sqrt[10]{\sqrt[4]{2}} is \sqrt[40]{2}

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simplify \sqrt[10]{\sqrt[4]{2}}

simplify

Decimal Notation

1.01747 \dots

Solution steps

Apply radical rule:

= (2^{\frac{1}{4}})^{\frac{1}{10}}

Apply exponent rule:

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

= 2^{\frac{1}{4} \cdot \frac{1}{10}}

\frac{1}{4} \cdot \frac{1}{10} = \frac{1}{40}

= 2^{\frac{1}{40}}

x 1 - x x + 1

0.6 \cdot 1 0^{- 25}

(9 \cdot 1 0^{6}) (8 \cdot 1 0^{8})

\frac{16}{24} e^{- 2}

2. 5^{0} (e)^{- 2.5}

What is \sqrt[10]{\sqrt[4]{2}} ?
The solution to \sqrt[10]{\sqrt[4]{2}} is \sqrt[40]{2}