What is \sqrt[4]{\sqrt[5]{8}} ?

The solution to \sqrt[4]{\sqrt[5]{8}} is \sqrt[20]{8}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[4]{\sqrt[5]{8}}

simplify

Decimal Notation

1.10956 \dots

Solution steps

Apply radical rule:

= (8^{\frac{1}{5}})^{\frac{1}{4}}

Apply exponent rule:

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

= 8^{\frac{1}{5} \cdot \frac{1}{4}}

\frac{1}{5} \cdot \frac{1}{4} = \frac{1}{20}

= 8^{\frac{1}{20}}

3 (43)

(5.03 \cdot 1 0^{- 4}) (3.6675)

0.54 (1 0^{- 5})

What is \sqrt[4]{\sqrt[5]{8}} ?
The solution to \sqrt[4]{\sqrt[5]{8}} is \sqrt[20]{8}