What is \sqrt[3]{\sqrt[7]{15}} ?

The solution to \sqrt[3]{\sqrt[7]{15}} is \sqrt[21]{15}

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simplify \sqrt[3]{\sqrt[7]{15}}

simplify

Decimal Notation

1.13763 \dots

Solution steps

Apply radical rule:

= (1 5^{\frac{1}{7}})^{\frac{1}{3}}

Apply exponent rule:

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

= 1 5^{\frac{1}{7} \cdot \frac{1}{3}}

\frac{1}{7} \cdot \frac{1}{3} = \frac{1}{21}

= 1 5^{\frac{1}{21}}

1 0^{- 8} (3.773)

(6 x) (2 x^{2})

(9 \cdot 1 0^{9}) (3.5 \cdot 1 0^{- 3}) (6 \cdot 1 0^{- 3})

2 x^{3} (y (y - 1) (y - 2) x^{y - 3})

0.1 \cdot e^{- 0.1 \cdot 12}

What is \sqrt[3]{\sqrt[7]{15}} ?
The solution to \sqrt[3]{\sqrt[7]{15}} is \sqrt[21]{15}