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

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

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]{a}}

simplify

4 3 a

12 a

Solution steps

4 3 a

Apply radical rule:

n a = a^{\frac{1}{n}}

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

a^{\frac{1}{n}} = n a

= 12 a

2 e^{- (x + y)}

1.13 \times 1 0^{- 2}

c a d e na \frac{d}{d x} (\frac{1}{( 3 x ^{2} + x - 3 ) ^{9}})

e^{- x l n (y)}

(x + y)^{3} (x - y)^{3}

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