What is \sqrt[3]{\sqrt[4]{2^5}} ?

The solution to \sqrt[3]{\sqrt[4]{2^5}} is \sqrt[12]{2^5}

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simplify \sqrt[3]{\sqrt[4]{2^5}}

simplify

Decimal Notation

1.33483 \dots

Solution steps

Apply radical rule:

= 2^{\frac{1}{3}} \cdot 2^{\frac{1}{12}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

2^{\frac{1}{3}} \cdot 2^{\frac{1}{12}} = 2^{\frac{1}{3} + \frac{1}{12}}

= 2^{\frac{1}{3} + \frac{1}{12}}

\frac{1}{3} + \frac{1}{12} = \frac{5}{12}

= 2^{\frac{5}{12}}

\frac{500}{- 0.09} e^{- 0.09 (0)}

0.51 \cdot \frac{90.30 7 ^{2}}{68.181 8 ^{2}}

\frac{3 x}{4 x ^{2} - 9}

- e^{- l n (x)}

2500 e^{- 5 (0.2231)}

What is \sqrt[3]{\sqrt[4]{2^5}} ?
The solution to \sqrt[3]{\sqrt[4]{2^5}} is \sqrt[12]{2^5}