What is \sqrt[3]{sqrt(\sqrt[4]{x)}} ?

The solution to \sqrt[3]{sqrt(\sqrt[4]{x)}} is \sqrt[24]{x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[3]{sqrt(\sqrt[4]{x)}}

simplify

Solution steps

Apply radical rule:

= (x^{\frac{1}{8}})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

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

\frac{1}{8} \cdot \frac{1}{3} = \frac{1}{24}

= x^{\frac{1}{24}}

e^{- X}

(3 (x - 4))^{x - 4}

5.32 \cdot 1 0^{- 4}

(\frac{4 π}{3}) \cdot 1000 \cdot 9.8 \cdot (4 \cdot 1 0^{- 7})

t e^{- 3 t}

What is \sqrt[3]{sqrt(\sqrt[4]{x)}} ?
The solution to \sqrt[3]{sqrt(\sqrt[4]{x)}} is \sqrt[24]{x}