What is \sqrt[4]{\sqrt[3]{y}} ?

The solution to \sqrt[4]{\sqrt[3]{y}} is \sqrt[12]{y}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[4]{\sqrt[3]{y}}

simplify

Solution steps

Apply radical rule:

= (y^{\frac{1}{3}})^{\frac{1}{4}}

Apply exponent rule:

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

assuming

a \geq 0

= y^{\frac{1}{3} \cdot \frac{1}{4}}

\frac{1}{3} \cdot \frac{1}{4} = \frac{1}{12}

= y^{\frac{1}{12}}

(x^{3} y^{4}) (4 x^{5} y^{7})

(2 x)^{3} (\frac{x}{2} - \frac{3}{x ^{3}})^{6}

1 + (\frac{x}{1 - x ^{2}})^{2}

(m)^{2}

What is \sqrt[4]{\sqrt[3]{y}} ?
The solution to \sqrt[4]{\sqrt[3]{y}} is \sqrt[12]{y}