What is \sqrt[4]{sqrt(\sqrt[3]{x 2/3)}} ?

The solution to \sqrt[4]{sqrt(\sqrt[3]{x 2/3)}} is \sqrt[24]{(2x)/3}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[4]{sqrt(\sqrt[3]{x 2/3)}}

simplify

Solution steps

Apply radical rule:

= ((\frac{2 x}{3})^{\frac{1}{6}})^{\frac{1}{4}}

Apply exponent rule:

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

assuming

a \geq 0

= (\frac{2 x}{3})^{\frac{1}{6} \cdot \frac{1}{4}}

\frac{1}{6} \cdot \frac{1}{4} = \frac{1}{24}

= (\frac{2 x}{3})^{\frac{1}{24}}

e^{2 x} e^{- 3 x}

y (cy + \frac{x ^{2} ln ( y )}{2} + c)

\frac{4 π}{( 1.5546 8 ^{2} )} \cdot (0. 6^{\frac{1}{2}})^{2}

(- \frac{1}{2} e^{t}) (e^{- 2 t})

+ (- e^{- x})

What is \sqrt[4]{sqrt(\sqrt[3]{x 2/3)}} ?
The solution to \sqrt[4]{sqrt(\sqrt[3]{x 2/3)}} is \sqrt[24]{(2x)/3}