What is \sqrt[3]{\sqrt[5]{13533}} ?

The solution to \sqrt[3]{\sqrt[5]{13533}} is \sqrt[15]{13533}

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simplify \sqrt[3]{\sqrt[5]{13533}}

simplify

Decimal Notation

1.88549 \dots

Solution steps

Apply radical rule:

= (1353 3^{\frac{1}{5}})^{\frac{1}{3}}

Apply exponent rule:

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

= 1353 3^{\frac{1}{5} \cdot \frac{1}{3}}

\frac{1}{5} \cdot \frac{1}{3} = \frac{1}{15}

= 1353 3^{\frac{1}{15}}

e^{- 2 j}

4 0.2^{- \frac{1}{4}}

e^{- s t} \cdot sin (2 t)

6.63 \cdot 1 0^{- 34} \cdot (17)

What is \sqrt[3]{\sqrt[5]{13533}} ?
The solution to \sqrt[3]{\sqrt[5]{13533}} is \sqrt[15]{13533}