What is \sqrt[3]{sqrt(4/25)} ?

The solution to \sqrt[3]{sqrt(4/25)} is \sqrt[6]{4/25}

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simplify \sqrt[3]{sqrt(4/25)}

simplify

Decimal Notation

0.73680 \dots

Solution steps

Apply radical rule:

= ((\frac{4}{25})^{\frac{1}{2}})^{\frac{1}{3}}

Apply exponent rule:

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

= (\frac{4}{25})^{\frac{1}{2} \cdot \frac{1}{3}}

\frac{1}{2} \cdot \frac{1}{3} = \frac{1}{6}

= (\frac{4}{25})^{\frac{1}{6}}

3^{- 666}

150000 (1.11)^{- 5}

x (4 x^{3})

x^{2} (x + 4)^{2}

20 e^{- 0.00012 t}

What is \sqrt[3]{sqrt(4/25)} ?
The solution to \sqrt[3]{sqrt(4/25)} is \sqrt[6]{4/25}