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

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

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

simplify

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

2.8 \cdot 1 0^{- 1}

100 e^{- 0.12}

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

2.8 \cdot 1 0^{- 2}

e^{- 11 l n (x)}

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