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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

2 \times x

e^{- l n (x^{2})}

(2 m^{5}) (8 m)

(2 ab) (3 a b^{5})

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