What is \sqrt[4]{\sqrt[3]{15}} ?

The solution to \sqrt[4]{\sqrt[3]{15}} is \sqrt[12]{15}

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simplify \sqrt[4]{\sqrt[3]{15}}

simplify

Decimal Notation

1.25316 \dots

Solution steps

Apply radical rule:

= (1 5^{\frac{1}{3}})^{\frac{1}{4}}

Apply exponent rule:

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

= 1 5^{\frac{1}{3} \cdot \frac{1}{4}}

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

= 1 5^{\frac{1}{12}}

\frac{e ^{- 4 x}}{e ^{x}}

5 x^{\circ} 5 x

e^{- y t}

4.57 \cdot 1 0^{- 6}

1.43 \cdot 1 0^{- 8}

What is \sqrt[4]{\sqrt[3]{15}} ?
The solution to \sqrt[4]{\sqrt[3]{15}} is \sqrt[12]{15}