What is \sqrt[3]{\sqrt[4]{143}} ?

The solution to \sqrt[3]{\sqrt[4]{143}} is \sqrt[12]{143}

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simplify \sqrt[3]{\sqrt[4]{143}}

simplify

Decimal Notation

1.51220 \dots

Solution steps

Apply radical rule:

= (14 3^{\frac{1}{4}})^{\frac{1}{3}}

Apply exponent rule:

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

= 14 3^{\frac{1}{4} \cdot \frac{1}{3}}

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

= 14 3^{\frac{1}{12}}

4.8 \cdot 1 0^{- 3}

5 e^{- 5}

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

\frac{256}{6561}

What is \sqrt[3]{\sqrt[4]{143}} ?
The solution to \sqrt[3]{\sqrt[4]{143}} is \sqrt[12]{143}