What is \sqrt[5]{\sqrt[3]{27}} ?

The solution to \sqrt[5]{\sqrt[3]{27}} is \sqrt[5]{3}

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simplify \sqrt[5]{\sqrt[3]{27}}

simplify

Decimal Notation

1.24573 \dots

Solution steps

Apply radical rule:

= (2 7^{\frac{1}{3}})^{\frac{1}{5}}

Apply exponent rule:

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

= 2 7^{\frac{1}{3} \cdot \frac{1}{5}}

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

= 2 7^{\frac{1}{15}}

Factor the number:

27 = 3^{3}

Apply exponent rule:

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

e^{t^{2}} \cdot e^{- t^{2}}

\frac{x ^{2}}{( x ^{2} - 1 ) ^{2}}

(37) (22)

0.36 \cdot 19 \cdot 1 0^{- 6} \cdot 61

What is \sqrt[5]{\sqrt[3]{27}} ?
The solution to \sqrt[5]{\sqrt[3]{27}} is \sqrt[5]{3}